n=0 τ=1: 1
n=1 τ=1: 0, 1
n=2 τ=1: 0, 0, 2
n=3 τ=1: 0, 0, 0, 6
n=4 τ=1: 0, 0, 0, 0, 24
n=5 τ=1: 0, 0, 0, 0, 0, 120
n=6 τ=1: 0, 0, 0, 0, 0, 0, 720
n=7 τ=1: 0, 0, 0, 0, 0, 0, 0, 5040
n=8 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 40320
n=9 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 0, 362880
n=10 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3628800
n=11 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39916800
n=12 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 479001600
n=13 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6227020800
n=14 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 87178291200
n=15 τ=1: 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1307674368000

n=0 τ=12: 1
n=1 τ=12: 1
n=2 τ=12: 1, 1
n=3 τ=12: 1, 2, 2, 1
n=4 τ=12: 1, 3, 5, 6, 5, 3, 1
n=5 τ=12: 1, 4, 9, 15, 20, 22, 20, 15, 9, 4, 1
n=6 τ=12: 1, 5, 14, 29, 49, 71, 90, 101, 101, 90, 71, 49, 29, 14, 5, 1
n=7 τ=12: 1, 6, 20, 49, 98, 169, 259, 359, 455, 531, 573, 573, 531, 455, 359, 259, 169, 98, 49, 20, 6, 1
n=8 τ=12: 1, 7, 27, 76, 174, 343, 602, 961, 1415, 1940, 2493, 3017, 3450, 3736, 3836, 3736, 3450, 3017, 2493, 1940, 1415, 961, 602, 343, 174, 76, 27, 7, 1
n=9 τ=12: 1, 8, 35, 111, 285, 628, 1230, 2191, 3606, 5545, 8031, 11021, 14395, 17957, 21450, 24584, 27073, 28675, 29228, 28675, 27073, 24584, 21450, 17957, 14395, 11021, 8031, 5545, 3606, 2191, 1230, 628, 285, 111, 35, 8, 1
n=10 τ=12: 1, 9, 44, 155, 440, 1068, 2298, 4489, 8095, 13640, 21670, 32683, 47043, 64889, 86054, 110010, 135853, 162337, 187959, 211089, 230131, 243694, 250749, 250749, 243694, 230131, 211089, 187959, 162337, 135853, 110010, 86054, 64889, 47043, 32683, 21670, 13640, 8095, 4489, 2298, 1068, 440, 155, 44, 9, 1
n=11 τ=12: 1, 10, 54, 209, 649, 1717, 4015, 8504, 16599, 30239, 51909, 84591, 131625, 196470, 282369, 391939, 526724, 686763, 870233, 1073227, 1289718, 1511742, 1729808, 1933514, 2112319, 2256396, 2357475, 2409581, 2409581, 2357475, 2256396, 2112319, 1933514, 1729808, 1511742, 1289718, 1073227, 870233, 686763, 526724, 391939, 282369, 196470, 131625, 84591, 51909, 30239, 16599, 8504, 4015, 1717, 649, 209, 54, 10, 1
n=12 τ=12: 1, 11, 65, 274, 923, 2640, 6655, 15159, 31758, 61997, 113906, 198497, 330121, 526581, 808896, 1200626, 1726701, 2411747, 3277965, 4342688, 5615807, 7097310, 8775209, 10624132, 12604826, 14664752, 16739858, 18757500, 20640357, 22311069, 23697232, 24736324, 25380120, 25598186, 25380120, 24736324, 23697232, 22311069, 20640357, 18757500, 16739858, 14664752, 12604826, 10624132, 8775209, 7097310, 5615807, 4342688, 3277965, 2411747, 1726701, 1200626, 808896, 526581, 330121, 198497, 113906, 61997, 31758, 15159, 6655, 2640, 923, 274, 65, 11, 1
n=13 τ=12: 1, 12, 77, 351, 1274, 3914, 10569, 25728, 57486, 119483, 233389, 431886, 762007, 1288587, 2097472, 3298033, 5024460, 7435284, 10710609, 15046642, 20647290, 27712842, 36426054, 46936280, 59342609, 73677240, 89890517, 107839121, 127278852, 147863220, 169148705, 190607064, 211644496, 231626875, 249909685, 265870800, 278943900, 288650143, 294625748, 296643390, 294625748, 288650143, 278943900, 265870800, 249909685, 231626875, 211644496, 190607064, 169148705, 147863220, 127278852, 107839121, 89890517, 73677240, 59342609, 46936280, 36426054, 27712842, 20647290, 15046642, 10710609, 7435284, 5024460, 3298033, 2097472, 1288587, 762007, 431886, 233389, 119483, 57486, 25728, 10569, 3914, 1274, 351, 77, 12, 1
n=14 τ=12: 1, 13, 90, 441, 1715, 5629, 16198, 41926, 99412, 218895, 452284, 884170, 1646177, 2934764, 5032235, 8330256, 13354639, 20789572, 31498907, 46541635, 67178356, 94865470, 131234038, 178050835, 237160055, 310405409, 399533919, 506084453, 631265833, 775831020, 939955265, 1123127045, 1324060932, 1540641165, 1769903560, 2008061518, 2250579364, 2492293227, 2727576366, 2950542516, 3155277747, 3336088769, 3487753817, 3605761397, 3686522377, 3727542188, 3727542188, 3686522377, 3605761397, 3487753817, 3336088769, 3155277747, 2950542516, 2727576366, 2492293227, 2250579364, 2008061518, 1769903560, 1540641165, 1324060932, 1123127045, 939955265, 775831020, 631265833, 506084453, 399533919, 310405409, 237160055, 178050835, 131234038, 94865470, 67178356, 46541635, 31498907, 20789572, 13354639, 8330256, 5032235, 2934764, 1646177, 884170, 452284, 218895, 99412, 41926, 16198, 5629, 1715, 441, 90, 13, 1
n=15 τ=12: 1, 14, 104, 545, 2260, 7889, 24087, 66013, 165425, 384320, 836604, 1720774, 3366951, 6301715, 11333950, 19664205, 33018831, 53808313, 85306779, 131846699, 199019426, 293868698, 425060810, 603012233, 839953393, 1149906518, 1548556267, 2052994543, 2681325612, 3452124397, 4383749406, 5493521812, 6796793172, 8305935430, 10029297355, 11970180517, 14125894411, 16486953600, 19036479131, 21749861592, 24594733930, 27531288780, 30512958144, 33487453708, 36398145065, 39185731988, 41790147131, 44152608576, 46217728808, 47935579065, 49263606316, 50168304699, 50626553988, 50626553988, 50168304699, 49263606316, 47935579065, 46217728808, 44152608576, 41790147131, 39185731988, 36398145065, 33487453708, 30512958144, 27531288780, 24594733930, 21749861592, 19036479131, 16486953600, 14125894411, 11970180517, 10029297355, 8305935430, 6796793172, 5493521812, 4383749406, 3452124397, 2681325612, 2052994543, 1548556267, 1149906518, 839953393, 603012233, 425060810, 293868698, 199019426, 131846699, 85306779, 53808313, 33018831, 19664205, 11333950, 6301715, 3366951, 1720774, 836604, 384320, 165425, 66013, 24087, 7889, 2260, 545, 104, 14, 1

n=0 τ=123: 1
n=1 τ=123: 1
n=2 τ=123: 2
n=3 τ=123: 5, 1
n=4 τ=123: 14, 6, 3, 0, 1
n=5 τ=123: 42, 27, 24, 7, 9, 6, 0, 4, 0, 0, 1
n=6 τ=123: 132, 110, 133, 70, 74, 54, 37, 32, 24, 12, 16, 6, 6, 8, 0, 0, 5, 0, 0, 0, 1
n=7 τ=123: 429, 429, 635, 461, 507, 395, 387, 320, 260, 232, 191, 162, 104, 130, 100, 24, 74, 62, 18, 32, 10, 30, 13, 8, 0, 10, 10, 0, 0, 0, 6, 0, 0, 0, 0, 1
n=8 τ=123: 1430, 1638, 2807, 2528, 3008, 2570, 2864, 2544, 2389, 2182, 2077, 1818, 1580, 1456, 1494, 886, 1047, 1004, 682, 656, 546, 466, 537, 288, 228, 324, 252, 156, 115, 138, 154, 66, 58, 60, 68, 38, 47, 0, 18, 40, 16, 10, 0, 0, 15, 12, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1
n=9 τ=123: 4862, 6188, 11864, 12525, 16151, 15203, 18179, 17357, 18096, 17333, 17505, 16605, 15847, 15068, 15049, 12630, 12472, 12101, 10837, 9588, 8935, 8225, 8089, 6836, 5405, 6072, 5158, 4541, 3901, 3462, 3412, 2976, 2524, 2151, 1887, 1995, 1583, 1312, 1064, 1190, 850, 834, 823, 508, 488, 420, 458, 427, 282, 186, 166, 234, 148, 248, 44, 80, 57, 66, 110, 58, 50, 0, 10, 20, 60, 19, 12, 0, 0, 0, 21, 14, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 1
n=10 τ=123: 16796, 23256, 48756, 58258, 80889, 83382, 105082, 107194, 120197, 121630, 129449, 128712, 132579, 130310, 133945, 124572, 127049, 121602, 121330, 112240, 109115, 103134, 102875, 95256, 86372, 84020, 82579, 73540, 69645, 64590, 61259, 56574, 53742, 47734, 44615, 41368, 39552, 35538, 31990, 29182, 27361, 25088, 23871, 20574, 18612, 16776, 15679, 14582, 14304, 11058, 9812, 9188, 8974, 9012, 6788, 5824, 5451, 4708, 5058, 4682, 3486, 3004, 2795, 2206, 2678, 2434, 1977, 1256, 1192, 1134, 1480, 1130, 986, 606, 401, 608, 603, 700, 378, 312, 192, 156, 264, 296, 326, 60, 107, 64, 15, 120, 172, 72, 59, 0, 12, 0, 35, 84, 22, 14, 0, 0, 0, 0, 28, 16, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 1
n=11 τ=123: 58786, 87210, 196707, 259787, 385387, 431167, 568809, 616449, 730182, 778432, 868607, 901457, 975820, 1000220, 1059437, 1051194, 1099257, 1092656, 1121794, 1101327, 1106169, 1079286, 1094214, 1065888, 1031696, 1005574, 1002920, 963317, 925079, 897540, 867777, 833036, 807892, 761461, 735291, 694925, 665451, 644967, 601738, 567469, 536582, 514598, 487819, 457925, 428537, 402525, 377705, 354636, 343753, 315180, 288746, 273107, 250591, 248644, 223830, 206056, 191347, 177756, 167509, 159312, 140646, 133790, 124559, 111283, 105226, 98752, 89678, 84846, 74486, 68371, 65623, 60868, 54635, 50256, 43978, 42730, 39349, 35811, 32045, 28528, 27264, 25732, 21425, 20715, 19063, 16286, 14829, 15964, 11766, 11168, 11210, 8690, 8278, 8326, 7356, 6657, 5607, 4362, 4878, 3660, 3955, 4146, 3456, 2574, 1787, 1862, 1688, 2283, 1806, 1756, 1310, 874, 398, 746, 867, 1089, 850, 534, 508, 166, 150, 166, 533, 392, 462, 64, 148, 66, 0, 35, 222, 224, 98, 68, 0, 14, 0, 0, 56, 112, 25, 16, 0, 0, 0, 0, 0, 36, 18, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=12 τ=123: 208012, 326876, 783750, 1124704, 1769705, 2129734, 2930602, 3357324, 4158993, 4649860, 5409361, 5850192, 6582534, 7005086, 7664290, 7955082, 8554680, 8800138, 9302926, 9455254, 9848663, 9887754, 10252212, 10289744, 10412901, 10363514, 10534421, 10461734, 10439795, 10286752, 10298618, 10083848, 10060255, 9782454, 9696595, 9411088, 9248159, 9051636, 8858488, 8529828, 8326384, 8050836, 7878546, 7566114, 7351731, 7038964, 6825097, 6520322, 6353104, 6064454, 5840485, 5557854, 5315981, 5124276, 4931245, 4648480, 4459522, 4237332, 4065748, 3856570, 3655541, 3476616, 3339915, 3128488, 2987967, 2809980, 2673316, 2536156, 2404584, 2249478, 2143602, 2019970, 1907813, 1781342, 1686055, 1591784, 1520651, 1410444, 1317057, 1226822, 1170509, 1106488, 1036376, 964510, 905971, 831612, 789574, 747260, 692353, 651210, 616455, 557190, 514716, 488784, 459377, 434182, 411831, 360726, 343986, 307942, 294353, 280706, 264987, 246044, 220097, 195598, 183818, 176288, 162255, 154968, 147435, 132786, 113464, 102292, 97316, 96054, 89357, 83976, 79584, 64736, 58398, 49392, 54015, 49646, 49758, 43118, 37987, 33592, 26591, 25650, 27024, 26652, 25240, 22070, 17858, 15894, 11956, 12254, 13460, 13684, 12682, 11348, 7991, 6052, 6379, 4750, 6532, 6556, 7027, 5028, 3851, 2350, 2217, 2108, 2819, 3326, 3049, 2658, 1878, 1122, 426, 740, 928, 1452, 1597, 1270, 822, 612, 201, 160, 81, 370, 798, 574, 630, 86, 173, 76, 0, 0, 84, 336, 296, 128, 77, 0, 16, 0, 0, 0, 84, 144, 28, 18, 0, 0, 0, 0, 0, 0, 45, 20, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=13 τ=123: 742900, 1225785, 3095708, 4765761, 7902982, 10148146, 14527238, 17513013, 22555348, 26334141, 31788007, 35742354, 41578030, 45793201, 51617654, 55613837, 61392446, 65216222, 70714898, 74159849, 79256093, 82132111, 86841291, 89589031, 93272321, 95364767, 98743416, 100593111, 103107053, 104141846, 106264648, 106913170, 108510167, 108598104, 109597236, 109242054, 109535912, 109131105, 109263115, 108100043, 107398163, 106309300, 105573955, 104077754, 102909182, 101108234, 99769221, 97692295, 96245699, 94243658, 92509865, 90273768, 88198934, 86158442, 84167053, 81944477, 79766705, 77576749, 75466422, 73256353, 71014543, 68786250, 66804419, 64662455, 62522023, 60404644, 58265028, 56315728, 54362925, 52371569, 50444780, 48725715, 46722639, 44846694, 43172948, 41530642, 39904659, 38315583, 36614447, 35096445, 33611422, 32248565, 30870791, 29544910, 28212990, 26989614, 25627820, 24622447, 23422034, 22419747, 21386087, 20360834, 19277029, 18402179, 17538377, 16753863, 15965250, 15061766, 14319433, 13614580, 12872502, 12315934, 11660950, 11113788, 10485164, 9912529, 9323095, 8923702, 8390912, 8012960, 7604672, 7177647, 6707782, 6324883, 5970480, 5702978, 5395444, 5096902, 4805334, 4494381, 4220645, 3960000, 3737985, 3590054, 3367522, 3163314, 2968116, 2780294, 2572104, 2427157, 2300956, 2207530, 2066968, 1931435, 1770885, 1673666, 1549696, 1456616, 1399816, 1322758, 1233362, 1150102, 1041404, 983450, 924047, 857456, 820946, 778204, 724300, 663725, 612468, 561700, 530599, 497128, 480458, 446604, 404781, 384302, 347818, 316283, 294974, 288166, 267478, 256465, 231408, 205227, 183338, 183088, 167317, 155114, 147960, 142488, 132498, 110594, 94681, 92676, 90642, 87566, 83078, 72838, 74759, 60826, 52194, 43758, 41978, 43358, 47380, 42206, 38435, 33464, 28545, 23908, 17546, 17599, 21504, 23647, 21049, 20688, 14972, 12371, 8642, 9048, 5656, 8763, 12034, 10574, 10345, 7216, 5080, 3416, 3052, 2119, 3177, 4382, 6244, 4192, 4008, 2366, 1410, 584, 973, 485, 1576, 2290, 2644, 1760, 1028, 810, 220, 182, 96, 148, 560, 1260, 816, 838, 84, 212, 86, 0, 0, 16, 126, 504, 378, 162, 86, 0, 18, 0, 0, 0, 0, 120, 180, 31, 20, 0, 0, 0, 0, 0, 0, 0, 55, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=14 τ=123: 2674440, 4601610, 12152855, 19873150, 34539352, 46993138, 69819523, 88211386, 117666162, 142944704, 178382297, 207976352, 249285628, 283480618, 328398190, 365385054, 413564544, 452230562, 502136436, 541319436, 591941715, 630225808, 680508932, 718681320, 766082686, 801876964, 847368055, 881412134, 923549688, 953750766, 992127792, 1019051018, 1054432886, 1077043714, 1108270477, 1126561842, 1152641927, 1167816922, 1190961158, 1202278740, 1217965433, 1225565538, 1239693506, 1243534974, 1252820286, 1251910696, 1258721599, 1254168288, 1256363590, 1250336342, 1249751790, 1239939988, 1235306909, 1224099972, 1216875225, 1202916542, 1193806606, 1178109916, 1166842266, 1148873864, 1135687370, 1116426592, 1101868406, 1082432148, 1066020670, 1045225822, 1027825140, 1005868854, 988451917, 966079052, 947629494, 926165358, 906790427, 883542130, 864432746, 842261682, 823651044, 801460744, 781568763, 759837602, 740767367, 719221464, 700835140, 679685462, 661099430, 641134824, 622702965, 603182858, 585578463, 566543946, 550100091, 531317432, 514925638, 497389018, 481497307, 465225136, 450611567, 433791940, 419423188, 404193616, 390276081, 376171822, 363667693, 349816628, 337311894, 324038960, 312168793, 300345618, 289311408, 278039772, 268066400, 257087394, 247115098, 236684548, 227372930, 218299672, 210193238, 201394078, 193506820, 185018096, 177196657, 169413084, 162517691, 155872504, 149736322, 142911036, 137080273, 130550128, 124795720, 119190492, 114111998, 109103900, 104722332, 99806466, 95250078, 90690372, 86380402, 82208178, 78846753, 75152240, 71961893, 68642314, 65046336, 61802898, 58919216, 55920894, 53469962, 50968074, 48742493, 46195528, 43885998, 41495874, 39541819, 37442180, 35767326, 33968022, 32333312, 30765374, 29236157, 27445388, 26032705, 24717392, 23470085, 22366502, 21264493, 20133138, 19044070, 17958364, 16910382, 16040250, 15230978, 14420510, 13806991, 13001090, 12292412, 11474112, 10870644, 10255494, 9738776, 9144522, 8785450, 8289524, 7823982, 7343536, 6855958, 6390424, 6115915, 5751974, 5452172, 5243358, 4897270, 4624928, 4326175, 3954124, 3709046, 3566508, 3332818, 3207390, 3062054, 2865250, 2677459, 2464320, 2278321, 2094650, 2024379, 1885852, 1866209, 1745710, 1652863, 1522752, 1400516, 1256432, 1181298, 1092806, 1060474, 1038476, 993774, 939032, 859792, 776684, 684227, 644672, 576218, 574814, 557065, 550430, 534261, 478566, 430382, 372228, 330638, 297058, 299344, 297158, 284822, 286922, 275202, 237142, 213707, 157648, 152939, 141364, 145745, 145698, 158096, 139964, 129925, 124228, 90926, 73780, 60875, 61264, 68547, 78044, 75794, 72662, 61943, 54346, 42188, 33272, 20863, 23018, 32175, 36218, 39457, 35036, 30400, 23422, 17836, 12384, 10820, 5674, 10709, 16788, 20067, 16308, 15315, 10164, 7356, 4710, 3878, 2088, 2410, 5384, 8452, 9574, 6062, 5468, 3124, 1886, 801, 1112, 344, 760, 2744, 3780, 4033, 2176, 1362, 1036, 247, 218, 112, 104, 126, 1008, 1872, 1132, 1044, 94, 255, 96, 0, 0, 18, 0, 210, 720, 470, 200, 95, 0, 20, 0, 0, 0, 0, 0, 165, 220, 34, 22, 0, 0, 0, 0, 0, 0, 0, 0, 66, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=15 τ=123: 9694845, 17298645, 47500635, 81864705, 148409950, 212661944, 327200581, 431654797, 594734142, 749477928, 964183420, 1162625794, 1432446556, 1678431450, 1994478901, 2283787345, 2646358088, 2971772275, 3373481548, 3729224092, 4164153753, 4542678081, 5002317693, 5401834780, 5873698929, 6283329787, 6764480189, 7179844190, 7660989907, 8074279364, 8547965436, 8949796715, 9416451295, 9804087636, 10252969400, 10619464884, 11042729655, 11388176882, 11788982533, 12114719510, 12474796143, 12763192793, 13101427948, 13365407839, 13665654169, 13889258573, 14158686057, 14351366628, 14578498164, 14738952116, 14936776639, 15061685652, 15216547661, 15313105239, 15433181972, 15492934599, 15580431102, 15614697439, 15669863296, 15668877745, 15690185704, 15663909010, 15656953617, 15606391786, 15570901381, 15495510604, 15434978796, 15333883553, 15249745859, 15130764914, 15024049988, 14891131042, 14766053985, 14609774772, 14465294780, 14296895872, 14142672786, 13963988852, 13789832912, 13598861936, 13416553906, 13217307561, 13026190755, 12819121639, 12617117502, 12405717663, 12199803220, 11985167272, 11772184414, 11554154701, 11340238360, 11118119749, 10901711150, 10681822739, 10463024369, 10244993624, 10030824602, 9809342881, 9594049344, 9377229559, 9161482787, 8949833366, 8742741400, 8535827447, 8327641610, 8121229004, 7915765711, 7717291510, 7521005454, 7327808864, 7136582934, 6948670234, 6760074683, 6576510643, 6392693878, 6217638994, 6044198879, 5875727823, 5707438175, 5544603200, 5379003028, 5220785903, 5064027935, 4914611419, 4767440609, 4624342501, 4482198004, 4342815034, 4203615653, 4072461748, 3942709050, 3818396235, 3696396901, 3578517093, 3459501836, 3347775857, 3232271839, 3125895693, 3020471206, 2919941482, 2820472059, 2727888000, 2630731422, 2539801002, 2449488306, 2363282519, 2279601185, 2200747927, 2122896737, 2048012517, 1972441547, 1900231778, 1829567639, 1762788908, 1697958501, 1636137278, 1574381484, 1517639027, 1459357361, 1404306725, 1348476542, 1298039774, 1246842390, 1200658816, 1154044940, 1110189875, 1066543238, 1024680317, 981915926, 943232389, 904918827, 869885588, 835812586, 802640764, 770496145, 738143410, 706588928, 677878223, 649104111, 623071752, 597569089, 573490646, 549178487, 527067750, 503482084, 481309887, 460095113, 441069615, 421947273, 405193418, 387472278, 371630149, 355264210, 338396721, 322597494, 308654194, 294666612, 282493297, 270802191, 258922666, 247515773, 235847727, 224404780, 213719666, 203689739, 194727326, 186351681, 178383754, 170479585, 162863697, 154734504, 146950508, 139315918, 132887613, 126549517, 121376547, 115733002, 111076068, 105754450, 100265259, 94748967, 89865125, 85208437, 81400811, 77689260, 74307780, 71262050, 67633337, 64262246, 60531601, 57068056, 53944701, 51498055, 49128614, 47095203, 44930030, 42689931, 40550841, 38333318, 35922747, 33718415, 32036127, 30513264, 29372995, 28016389, 26620012, 25261169, 23827304, 22263678, 21028636, 19656866, 18721792, 17870569, 17181899, 16380156, 15653373, 14555353, 13613232, 12791299, 12031079, 11379626, 10708569, 10350702, 9872966, 9475599, 8855012, 8312282, 7653612, 7160420, 6738882, 6460330, 6113787, 5881750, 5583603, 5313786, 4988760, 4617662, 4226527, 3892651, 3696750, 3576495, 3477694, 3263936, 3127652, 2941702, 2763880, 2476879, 2291782, 2078016, 1966128, 1914633, 1900645, 1829372, 1752992, 1595834, 1478836, 1345758, 1185457, 1100421, 986733, 991031, 997208, 1005785, 953191, 904016, 779734, 713482, 613167, 548958, 480542, 496397, 489551, 510276, 517493, 494372, 443608, 380730, 315550, 263810, 232990, 215694, 229254, 242585, 262978, 259745, 245009, 207070, 188188, 132023, 106535, 88460, 89152, 101332, 120238, 128092, 130428, 118238, 97390, 78782, 62784, 42593, 26946, 31083, 39888, 57112, 58517, 66760, 53946, 47380, 32142, 26090, 16038, 13592, 5090, 11655, 20676, 29448, 30618, 25324, 22444, 14666, 9354, 6512, 4702, 2410, 1557, 4030, 11002, 13350, 14380, 8300, 7640, 4072, 2402, 890, 1388, 343, 308, 1260, 4998, 5762, 5635, 2754, 1774, 1290, 290, 226, 144, 116, 0, 252, 1680, 2673, 1480, 1290, 104, 302, 106, 0, 0, 20, 0, 0, 330, 990, 572, 242, 104, 0, 22, 0, 0, 0, 0, 0, 0, 220, 264, 37, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1

n=0 τ=132: 1
n=1 τ=132: 1
n=2 τ=132: 2
n=3 τ=132: 5, 1
n=4 τ=132: 14, 5, 4, 1
n=5 τ=132: 42, 21, 23, 14, 12, 5, 3
n=6 τ=132: 132, 84, 107, 82, 96, 55, 64, 37, 29, 22, 10, 0, 2
n=7 τ=132: 429, 330, 464, 410, 526, 394, 475, 365, 360, 298, 281, 175, 206, 126, 93, 55, 23, 14, 13, 1, 2
n=8 τ=132: 1430, 1287, 1950, 1918, 2593, 2225, 2858, 2489, 2682, 2401, 2620, 2088, 2321, 1853, 1770, 1576, 1417, 1152, 1048, 730, 647, 397, 322, 169, 162, 109, 41, 37, 20, 0, 7, 1
n=9 τ=132: 4862, 5005, 8063, 8657, 12165, 11539, 15174, 14772, 16627, 16066, 18248, 16413, 18449, 16681, 17104, 16300, 16525, 14486, 14891, 12878, 12952, 11213, 10816, 8969, 8484, 7136, 6163, 4914, 4110, 3094, 2722, 1937, 1611, 1181, 950, 509, 510, 311, 107, 141, 85, 11, 37, 6, 0, 5, 1
n=10 τ=132: 16796, 19448, 33033, 38225, 55482, 57064, 76381, 79768, 94243, 96248, 112709, 109422, 124827, 121352, 130154, 129704, 137826, 130013, 137479, 129923, 134624, 128037, 129817, 119910, 120597, 112847, 109851, 101464, 98255, 88302, 86333, 75684, 71042, 62466, 57142, 47504, 43980, 36867, 31539, 26333, 23803, 18854, 16276, 12781, 10735, 8453, 6665, 5023, 4158, 2658, 2056, 1584, 1040, 681, 562, 271, 175, 159, 83, 26, 44, 11, 4, 6, 1
n=11 τ=132: 58786, 75582, 134576, 166322, 248509, 273612, 372506, 411132, 501367, 540405, 645884, 666591, 771103, 792470, 873391, 904364, 988292, 984496, 1062388, 1058312, 1121118, 1117511, 1167522, 1140122, 1182129, 1158052, 1180398, 1150418, 1167814, 1120075, 1134523, 1080774, 1075062, 1022688, 1008723, 948246, 933609, 874695, 839814, 777886, 749612, 684351, 647464, 583310, 541746, 487788, 449094, 396602, 365025, 316887, 287377, 251343, 226338, 190755, 170845, 144866, 126540, 104648, 90914, 73269, 62680, 50919, 41128, 32514, 26314, 19986, 16651, 12085, 9197, 7079, 5386, 3647, 2884, 2099, 1284, 1016, 769, 358, 343, 150, 111, 82, 41, 6, 19, 6, 4, 1
n=12 τ=132: 208012, 293930, 546312, 716170, 1099255, 1283621, 1778065, 2056005, 2574201, 2891450, 3533411, 3819011, 4496459, 4816550, 5442384, 5813312, 6493101, 6736605, 7407256, 7664364, 8275941, 8526536, 9108397, 9242454, 9776268, 9911016, 10342283, 10443362, 10852806, 10824365, 11187440, 11127849, 11371095, 11266034, 11458030, 11285094, 11429456, 11221173, 11226970, 10963400, 10956799, 10617021, 10553059, 10180653, 10028728, 9652288, 9459865, 9011096, 8782122, 8331411, 8037308, 7575442, 7269234, 6768796, 6451607, 5988665, 5664110, 5213842, 4896812, 4486183, 4191364, 3813548, 3528252, 3192510, 2945167, 2633502, 2415683, 2150851, 1948015, 1723618, 1553586, 1348904, 1213585, 1051282, 917150, 793302, 694716, 582928, 505321, 422342, 357247, 297731, 252875, 201318, 171058, 138763, 112423, 90255, 72077, 57130, 47392, 34750, 26718, 21915, 16589, 11364, 9260, 6936, 4536, 3233, 2739, 1739, 1178, 636, 612, 471, 203, 80, 137, 58, 33, 10, 14, 5, 4, 1
n=13 τ=132: 742900, 1144066, 2212550, 3059864, 4817998, 5924924, 8354138, 10060493, 12897207, 15011008, 18673681, 21005742, 25139809, 27892921, 32174765, 35371892, 40213111, 43156127, 48216406, 51435788, 56507678, 59835060, 65040250, 68003213, 73131496, 76159482, 80950418, 83886770, 88704466, 91012203, 95617414, 97782285, 101831844, 103634743, 107441769, 108837186, 112303428, 113400805, 116077044, 116689240, 119170110, 119115467, 121162775, 120873012, 122191448, 121514118, 122437895, 121107517, 121539559, 119890161, 119647471, 117641966, 117068552, 114487535, 113498686, 110736720, 109185266, 106018365, 104095864, 100671135, 98411555, 94730489, 92050979, 88207742, 85349463, 81309503, 78416747, 74484430, 71353679, 67472416, 64445251, 60572473, 57665260, 54027243, 51090362, 47689672, 44965351, 41689056, 39122434, 36180550, 33743546, 31049684, 28875704, 26345986, 24411447, 22217570, 20399148, 18497133, 16888832, 15146327, 13796919, 12330777, 11107776, 9870538, 8843444, 7773620, 6931018, 6061409, 5353769, 4643145, 4078991, 3505157, 3066630, 2625069, 2261232, 1933181, 1641478, 1381705, 1182413, 988179, 832910, 681977, 570400, 461542, 388862, 309683, 254253, 204198, 161513, 123151, 103938, 83051, 61659, 45715, 35468, 29909, 22444, 14885, 11762, 8675, 7065, 4355, 3706, 2250, 1452, 1270, 956, 550, 290, 192, 224, 86, 55, 22, 26, 10, 7, 1
n=14 τ=132: 2674440, 4457400, 8946454, 12994936, 20968680, 27005978, 38773898, 48415037, 63440820, 76218029, 96416035, 112042054, 136409188, 155815422, 183244691, 206518151, 238823705, 263430595, 299044137, 327050513, 365202261, 395649155, 436990924, 467967476, 511067038, 544131658, 587718014, 621916279, 667606694, 700378580, 746501992, 779883891, 824717276, 857167165, 902033896, 933069794, 976957712, 1006993331, 1047691505, 1075327133, 1115184505, 1139325459, 1176886741, 1199577490, 1233205989, 1252872951, 1284033503, 1299554183, 1327079063, 1339596996, 1362658567, 1371904468, 1391984488, 1396532373, 1412713381, 1414476476, 1425768690, 1423209185, 1430505782, 1423771577, 1426997850, 1416636271, 1415165681, 1401135684, 1395961785, 1377882835, 1369033505, 1347964603, 1334427647, 1309984314, 1293411020, 1265202324, 1245216145, 1214837532, 1190943112, 1158172695, 1132532886, 1097410370, 1069389739, 1033588520, 1003909299, 967324488, 937165691, 899655863, 869015071, 832335142, 800931190, 765030984, 734193065, 698475928, 668549432, 634442907, 604965623, 572321903, 544199998, 512793264, 486090504, 456993055, 431540488, 404097111, 380541053, 355045203, 333158612, 309832979, 289558065, 268364768, 249842278, 230455948, 213785483, 196509300, 181398289, 165979626, 152708335, 139026271, 127400917, 115514450, 105186018, 95024818, 86238629, 77352084, 69995456, 62667498, 56272801, 50096017, 44845464, 39721228, 35370019, 31178607, 27599287, 24204105, 21339593, 18553958, 16280009, 14077783, 12250911, 10558376, 9139394, 7776095, 6687374, 5689279, 4844832, 4085133, 3453881, 2873233, 2431972, 2019653, 1672777, 1379254, 1150141, 921671, 769407, 618649, 505630, 403978, 327342, 254973, 207251, 166701, 127409, 98529, 78301, 61095, 47189, 34447, 26397, 20841, 15965, 10226, 8404, 5815, 4570, 3055, 2243, 1432, 979, 775, 511, 298, 196, 123, 102, 50, 27, 15, 12, 5, 3
n=15 τ=132: 9694845, 17383860, 36134656, 54924212, 90747564, 121861262, 178195562, 229917706, 307570163, 380309977, 489000503, 584558237, 723034529, 847533350, 1014163699, 1169155763, 1373175798, 1551434496, 1787371342, 1997899742, 2264580989, 2503727803, 2805163754, 3066564931, 3396130740, 3686200356, 4038955795, 4352386721, 4735587327, 5061916252, 5466078702, 5813452002, 6230832517, 6589662701, 7025686265, 7392983822, 7840273722, 8217482693, 8665092004, 9042347456, 9499051741, 9869690633, 10325207051, 10697527017, 11144241319, 11507815598, 11949838957, 12297078493, 12725252279, 13059807294, 13468510190, 13786024293, 14181061650, 14472589051, 14845196113, 15119265681, 15463421155, 15708268157, 16026509612, 16239634298, 16528382483, 16714103390, 16967898903, 17121421962, 17344353430, 17461529935, 17650122330, 17735764923, 17883313603, 17930902115, 18043518263, 18051421043, 18124573461, 18098863253, 18129816291, 18067043486, 18063932894, 17961560752, 17916932069, 17781567087, 17697297090, 17525869732, 17407958951, 17198489840, 17044024844, 16806364793, 16613122792, 16344768446, 16122930074, 15823046246, 15574263465, 15255274076, 14979815075, 14640103444, 14346108830, 13987508941, 13676088413, 13309467773, 12983053685, 12607017653, 12273784915, 11891118453, 11551676394, 11168627936, 10825089905, 10443861585, 10101369248, 9723164943, 9383593141, 9013917529, 8678414658, 8317025506, 7991219847, 7640502825, 7323886601, 6987672333, 6682017617, 6360222965, 6068452209, 5760566739, 5484120608, 5195306320, 4932094710, 4660308577, 4414348111, 4159426586, 3929409103, 3693756598, 3479199713, 3261373191, 3064556773, 2863575222, 2683346604, 2500949085, 2335841682, 2171087077, 2022531577, 1873079024, 1739680321, 1607140549, 1487843238, 1370371239, 1265221800, 1161112728, 1069022604, 978610549, 897178944, 819020626, 748959333, 680603706, 620536237, 562430811, 510567991, 461075965, 417463660, 375234183, 338485462, 303186706, 272214677, 242868991, 217509850, 193042582, 172057373, 152133108, 134812424, 118908809, 104998256, 91933155, 80822277, 70469929, 61653115, 53571665, 46712255, 40206520, 34885701, 29948764, 25805260, 22135886, 18992818, 16091798, 13738710, 11617115, 9819179, 8318871, 7019802, 5828833, 4898837, 4059694, 3398438, 2780486, 2338450, 1871617, 1567872, 1269909, 1025623, 833212, 674099, 544262, 431683, 339612, 265820, 221967, 175263, 126137, 98323, 78909, 64509, 46651, 36760, 22848, 21048, 15670, 11509, 8254, 5300, 4492, 3299, 2241, 1448, 968, 934, 429, 357, 182, 141, 109, 58, 23, 16, 12, 5, 3

n=0 τ=1234: 1
n=1 τ=1234: 1
n=2 τ=1234: 2
n=3 τ=1234: 6
n=4 τ=1234: 23, 1
n=5 τ=1234: 103, 12, 4, 0, 0, 1
n=6 τ=1234: 513, 102, 63, 10, 6, 12, 8, 0, 0, 5, 0, 0, 0, 0, 0, 1
n=7 τ=1234: 2761, 770, 665, 196, 146, 116, 142, 46, 10, 72, 32, 24, 0, 13, 0, 12, 18, 0, 0, 10, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=8 τ=1234: 15767, 5545, 5982, 2477, 2148, 1204, 1782, 885, 503, 804, 573, 600, 199, 312, 112, 156, 333, 115, 96, 136, 142, 12, 0, 89, 24, 84, 44, 24, 10, 41, 0, 0, 40, 0, 0, 28, 8, 0, 0, 10, 0, 15, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=9 τ=1234: 94359, 39220, 49748, 25886, 25190, 13188, 19936, 11533, 9599, 9533, 7775, 8585, 5312, 5586, 3004, 3006, 4679, 2718, 2776, 2102, 3081, 1323, 640, 1586, 1253, 1590, 928, 998, 502, 948, 620, 220, 746, 567, 272, 400, 408, 242, 54, 440, 158, 302, 124, 157, 30, 364, 112, 12, 161, 94, 48, 28, 16, 60, 0, 152, 44, 94, 40, 46, 0, 10, 40, 0, 0, 50, 20, 0, 0, 0, 12, 68, 0, 0, 10, 19, 0, 0, 0, 0, 12, 0, 0, 0, 0, 21, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=10 τ=1234: 586590, 276144, 396642, 244233, 260505, 142550, 210663, 130920, 132620, 113954, 100201, 102866, 85736, 82752, 55779, 51594, 64086, 46271, 48938, 36084, 49273, 30289, 24894, 25486, 25212, 29569, 20598, 20286, 15216, 18642, 16001, 10686, 14354, 12342, 12164, 9042, 9190, 8688, 5268, 8640, 6875, 7195, 4618, 6043, 2831, 6714, 5228, 2594, 3816, 3726, 4140, 1548, 1916, 2116, 992, 3908, 1846, 2534, 1824, 2104, 1208, 994, 1422, 953, 870, 1320, 1210, 737, 372, 779, 302, 1426, 586, 828, 424, 942, 350, 68, 747, 263, 265, 299, 160, 56, 422, 594, 140, 406, 16, 108, 246, 340, 300, 8, 104, 161, 50, 216, 0, 0, 116, 240, 0, 80, 15, 142, 72, 24, 0, 56, 187, 0, 40, 0, 0, 158, 60, 0, 0, 0, 12, 60, 0, 0, 0, 59, 12, 8, 0, 35, 10, 0, 0, 0, 0, 84, 12, 0, 0, 0, 22, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=11 τ=1234: 3763290, 1948212, 3089010, 2167834, 2493489, 1476655, 2136586, 1396483, 1574270, 1308353, 1231914, 1168760, 1139142, 1065192, 848857, 772876, 854099, 688165, 725885, 568412, 709188, 510887, 500661, 428278, 433048, 460477, 396052, 360136, 307833, 337855, 307073, 252242, 275869, 230346, 254906, 212275, 202396, 177857, 160884, 176735, 155432, 160778, 126044, 139380, 102473, 129824, 119286, 100572, 96254, 84524, 108448, 70634, 67477, 66313, 48076, 79778, 60889, 67211, 49818, 62162, 47384, 37102, 46130, 38655, 38438, 36768, 36972, 33390, 24838, 27562, 19970, 35462, 23347, 26997, 19102, 26876, 21432, 16120, 19400, 16220, 17410, 12648, 12176, 8489, 12720, 19653, 10636, 11919, 8356, 11398, 6688, 11942, 11340, 5242, 8694, 7886, 5136, 8846, 5104, 4526, 3704, 8888, 3228, 6718, 3714, 5102, 2336, 3804, 4226, 2584, 5818, 2710, 2235, 2682, 2162, 3645, 3398, 3668, 908, 2298, 2028, 1972, 2084, 1264, 360, 2673, 2228, 610, 564, 1882, 780, 2404, 664, 540, 101, 2426, 1492, 1344, 136, 500, 1064, 620, 1060, 184, 552, 1179, 354, 250, 416, 538, 508, 644, 10, 32, 460, 857, 568, 192, 0, 330, 296, 668, 504, 12, 0, 618, 143, 180, 16, 40, 92, 388, 10, 225, 320, 134, 12, 20, 0, 60, 324, 138, 120, 60, 24, 342, 66, 120, 0, 40, 40, 24, 103, 0, 0, 0, 78, 0, 60, 210, 0, 0, 66, 0, 0, 140, 84, 0, 0, 0, 12, 22, 84, 0, 10, 0, 0, 68, 0, 0, 12, 0, 0, 0, 0, 56, 0, 0, 0, 0, 14, 0, 112, 0, 0, 0, 0, 0, 25, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=12 τ=1234: 24792705, 13817680, 23745117, 18510734, 22686585, 14615551, 20933289, 14349808, 17178738, 14345040, 14337052, 12978040, 13797025, 12614023, 11315482, 10412344, 10986789, 9355148, 9871069, 8164552, 9570350, 7590053, 7878515, 6667253, 6870210, 6691619, 6439280, 5819422, 5349627, 5438489, 5200159, 4640752, 4788339, 4099389, 4400456, 3952373, 3963056, 3337831, 3296809, 3325597, 3116491, 3028552, 2760896, 2756429, 2371343, 2552239, 2394172, 2246463, 2213284, 1886885, 2139105, 1799868, 1773136, 1569626, 1417688, 1628735, 1470325, 1548228, 1264350, 1386045, 1289181, 1085134, 1106664, 1057725, 1105993, 931035, 992874, 907196, 810311, 822039, 674083, 824244, 728006, 748268, 605737, 679161, 639425, 597318, 581847, 501282, 562041, 465463, 446267, 377964, 417836, 482704, 396500, 404936, 323281, 398963, 295107, 325830, 357475, 278933, 301230, 269898, 250819, 273625, 236779, 229836, 177999, 260895, 188812, 217520, 169117, 210924, 150476, 153936, 170319, 135205, 191428, 147254, 116203, 115630, 122346, 143046, 113678, 135506, 93747, 113895, 99474, 98515, 91138, 85894, 78391, 81566, 91936, 64992, 60211, 78574, 59142, 78866, 54064, 64287, 37752, 70533, 66146, 56098, 43272, 47575, 41964, 42390, 53232, 35426, 35003, 45524, 31074, 38550, 26064, 38182, 27791, 32065, 29508, 17814, 22528, 36900, 32826, 17846, 19878, 18722, 19150, 33688, 22391, 14549, 10194, 24898, 20144, 19673, 8963, 11663, 14554, 17156, 10276, 11994, 15299, 16476, 9792, 7806, 7736, 10162, 13381, 13974, 6912, 7298, 8062, 12414, 6834, 12280, 4992, 6352, 7653, 6275, 7035, 4088, 2478, 8578, 4146, 4676, 4132, 5396, 6754, 6344, 3236, 3122, 3204, 5166, 7208, 4100, 2426, 2488, 2842, 2538, 4110, 3578, 1390, 5470, 1864, 2525, 1235, 2506, 2298, 2911, 1415, 622, 2380, 2952, 862, 1676, 1118, 1428, 1274, 1319, 4168, 1028, 540, 1724, 1366, 1469, 2304, 1212, 628, 836, 1096, 1059, 458, 1698, 352, 352, 988, 596, 627, 792, 744, 708, 56, 1192, 546, 124, 736, 530, 360, 240, 1010, 1230, 180, 154, 480, 429, 160, 985, 436, 608, 0, 248, 0, 572, 284, 660, 204, 204, 109, 0, 552, 24, 120, 0, 212, 0, 388, 372, 12, 0, 120, 0, 287, 460, 468, 0, 76, 0, 0, 200, 84, 490, 80, 0, 0, 0, 0, 462, 60, 168, 0, 0, 80, 46, 28, 0, 0, 0, 0, 70, 89, 0, 84, 0, 0, 0, 0, 412, 12, 8, 0, 0, 10, 0, 184, 112, 0, 0, 12, 0, 0, 16, 112, 0, 0, 0, 0, 0, 91, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 16, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=13 τ=1234: 167078577, 98679990, 181282899, 154082218, 199373605, 139044716, 199072770, 143244954, 177757426, 151254126, 158672770, 141119140, 158039854, 142414080, 138474377, 129461860, 135635154, 119301595, 126531242, 109066314, 123249020, 104226373, 110181384, 95425659, 100173201, 93682596, 94737756, 86298545, 83951406, 81494053, 80360644, 74550910, 76179003, 67427660, 70284669, 65007999, 66979187, 58254338, 58407449, 56348836, 55816254, 52704311, 51146447, 49426775, 45866555, 46238605, 44527120, 42475743, 42571169, 38297220, 39798327, 35931564, 36912233, 32979150, 31440766, 32093027, 30874209, 30998684, 28158685, 28346573, 27507923, 25549023, 24548008, 23424517, 24703398, 21713561, 22399233, 20912820, 20129194, 19436402, 17824981, 18463678, 17468663, 18035531, 15904124, 15924362, 15605612, 15328329, 14777362, 13348681, 14158383, 12705522, 12549602, 11155758, 11421058, 11878960, 11016620, 10830656, 9715492, 10552748, 9247143, 9175608, 9222454, 8551297, 8937494, 7798330, 7807749, 7815292, 7308619, 7268655, 6302306, 6999368, 6337378, 6677157, 5611273, 6177497, 5505402, 5205811, 5418882, 4908118, 5421010, 4962753, 4516179, 4199200, 4246060, 4560474, 3931180, 4213433, 3693412, 3960356, 3512327, 3572869, 3400293, 3230845, 3172612, 3025811, 3095336, 2810807, 2741707, 2650740, 2534431, 2803654, 2241202, 2469518, 2025842, 2484874, 2352682, 2141197, 1896598, 1989842, 1984224, 1848937, 1890024, 1721511, 1606370, 1748580, 1487018, 1631664, 1373644, 1629050, 1309512, 1360174, 1329543, 1202373, 1194618, 1272260, 1294092, 1061876, 1066452, 1072270, 989462, 1161354, 995190, 948712, 759464, 979205, 885135, 890082, 809985, 758028, 704986, 760272, 699258, 649169, 686461, 777175, 617935, 594602, 510163, 572263, 568920, 690858, 514312, 485670, 446836, 532832, 474664, 526052, 447426, 402525, 408178, 459354, 412542, 321090, 312258, 413874, 334194, 350178, 267142, 310704, 366199, 336154, 281042, 260886, 245200, 309230, 279711, 273562, 231400, 247610, 228488, 230454, 194280, 227291, 190826, 227354, 213701, 227324, 127197, 174366, 171410, 179970, 153302, 146524, 153681, 172142, 150588, 120972, 101828, 142632, 111818, 149222, 152174, 115398, 98640, 98003, 116073, 119856, 113452, 113762, 97700, 89114, 95184, 76487, 68308, 134117, 79517, 64906, 62428, 65756, 66014, 77378, 74798, 72636, 48792, 75268, 47927, 65173, 55874, 57187, 50160, 51509, 55954, 56062, 46360, 50754, 37702, 43075, 51720, 45520, 37816, 49126, 33284, 32346, 29312, 41778, 36200, 52560, 29043, 26548, 23928, 28532, 30724, 32516, 23930, 31464, 16710, 21072, 23734, 29542, 21640, 23118, 21696, 16720, 17040, 19992, 27647, 20182, 22090, 18190, 11230, 13150, 19190, 21604, 10046, 20810, 15163, 12979, 10766, 16532, 12048, 10686, 13926, 22283, 10320, 11712, 9338, 7322, 5860, 10234, 6186, 11418, 16112, 4780, 6280, 9214, 6328, 6986, 6634, 15272, 7902, 4410, 6362, 6424, 4284, 7700, 6930, 9394, 6007, 9984, 2706, 4928, 3462, 3380, 4904, 9866, 6556, 2627, 3978, 1522, 4253, 3020, 4670, 5980, 5908, 2524, 1610, 1634, 1920, 5662, 5614, 1400, 2560, 2790, 1550, 3224, 2092, 2542, 3377, 2533, 2139, 2927, 1916, 3154, 2496, 1632, 1636, 2312, 2048, 3070, 892, 902, 1768, 316, 1556, 2738, 4076, 1108, 1136, 68, 220, 1200, 748, 4330, 1528, 620, 244, 688, 284, 1696, 1091, 2384, 140, 280, 20, 0, 2297, 1190, 1304, 290, 1428, 0, 20, 1578, 420, 354, 1020, 560, 1268, 62, 60, 1388, 380, 24, 176, 210, 1982, 800, 80, 0, 20, 144, 0, 1344, 844, 840, 484, 0, 0, 0, 428, 326, 997, 280, 24, 0, 0, 0, 696, 204, 410, 76, 108, 0, 86, 124, 504, 54, 0, 728, 92, 0, 176, 16, 28, 0, 60, 588, 672, 0, 276, 0, 0, 0, 0, 112, 704, 0, 0, 0, 84, 0, 0, 600, 0, 316, 0, 0, 0, 0, 52, 32, 0, 0, 0, 12, 8, 0, 100, 10, 112, 126, 0, 0, 0, 12, 86, 0, 0, 0, 504, 0, 0, 0, 0, 14, 0, 0, 234, 144, 0, 0, 0, 0, 0, 0, 18, 144, 0, 0, 16, 0, 0, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=14 τ=1234: 1148208090, 710108396, 1379847138, 1260811144, 1709905148, 1280946912, 1845768936, 1394232626, 1772002880, 1545163091, 1684463720, 1500045485, 1737860226, 1558899455, 1601461723, 1519006227, 1606741015, 1448070917, 1549858394, 1377209650, 1527861635, 1351656023, 1437399222, 1280120967, 1361804100, 1261073678, 1306129024, 1202661263, 1214133892, 1158048485, 1165983271, 1098301779, 1129572561, 1029352100, 1059559698, 995174908, 1032208615, 931788771, 945260879, 895320527, 907825716, 857021578, 858011780, 817088729, 794692957, 778713590, 764991901, 734369012, 740121740, 689010766, 700684296, 649365871, 667504144, 616735895, 606239545, 589392339, 584769652, 571890845, 549498497, 538889631, 529649566, 506221191, 494059299, 471143818, 484038964, 446941720, 454901919, 426930686, 426369597, 406423534, 391778388, 385796627, 374862395, 375933147, 356957823, 347508941, 338335915, 335610562, 329009568, 305852720, 315027259, 292904464, 292703753, 271508491, 271819910, 267211280, 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n=15 τ=1234: 8026793118, 5150076076, 10496697584, 10198142484, 14410695638, 11503886949, 16754058321, 13267442939, 17171109561, 15379548957, 17290573347, 15584635383, 18490813288, 16659749905, 17790403169, 17091215704, 18346350669, 16883200201, 18282459666, 16638907784, 18324503524, 16759435107, 17882043901, 16340877946, 17547420624, 16326317002, 17138330574, 15993478379, 16510573578, 15714130705, 16093961670, 15278149520, 15838705052, 14772049266, 15192388415, 14430427250, 14992981053, 13908862557, 14243493731, 13510719995, 13816005173, 13122016880, 13381816647, 12726018231, 12705773630, 12337601145, 12310071773, 11859098979, 12026683511, 11402160200, 11564353040, 10939039450, 11170300744, 10540106000, 10579019391, 10169013305, 10205428634, 9898801063, 9783486953, 9518140853, 9480228788, 9127671990, 9034809142, 8710744758, 8822121608, 8338449001, 8468982397, 8044570168, 8099216363, 7762289610, 7669244139, 7434601765, 7367450638, 7232201328, 7088403811, 6926615523, 6781387938, 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n=0 τ=1243: 1
n=1 τ=1243: 1
n=2 τ=1243: 2
n=3 τ=1243: 6
n=4 τ=1243: 23, 1
n=5 τ=1243: 103, 11, 4, 2
n=6 τ=1243: 513, 88, 56, 32, 14, 7, 9, 0, 0, 1
n=7 τ=1243: 2761, 638, 543, 341, 235, 138, 173, 51, 42, 47, 34, 6, 17, 4, 0, 7, 1, 0, 2
n=8 τ=1243: 15767, 4478, 4600, 3119, 2658, 1710, 2180, 972, 975, 877, 771, 356, 542, 233, 184, 266, 157, 81, 130, 41, 60, 49, 16, 16, 37, 8, 9, 13, 3, 0, 10, 1, 0, 0, 0, 0, 1
n=9 τ=1243: 94359, 31199, 36691, 26602, 25756, 17628, 22984, 12381, 13705, 11786, 11395, 6832, 9438, 5252, 4870, 5314, 4350, 2787, 3611, 1905, 2415, 2032, 1200, 1029, 1510, 905, 794, 680, 579, 409, 541, 242, 295, 275, 130, 137, 296, 56, 45, 120, 77, 28, 86, 17, 21, 45, 15, 4, 23, 0, 9, 5, 3, 0, 8, 1, 0, 1, 0, 0, 2
n=10 τ=1243: 586590, 218033, 284370, 218957, 231390, 166338, 221429, 133959, 156652, 134354, 137682, 94181, 125521, 80373, 80587, 80257, 74696, 53683, 65521, 42356, 50366, 43226, 33854, 27707, 36211, 25734, 24108, 21261, 20671, 15427, 18681, 11391, 12545, 11648, 8921, 8324, 10657, 6082, 5355, 5853, 5991, 3719, 4870, 2942, 2636, 3405, 2395, 1732, 2600, 1439, 1457, 1328, 1346, 740, 1183, 759, 674, 733, 469, 303, 656, 329, 190, 329, 307, 158, 221, 109, 96, 128, 117, 63, 108, 31, 42, 51, 37, 10, 43, 6, 26, 11, 14, 2, 23, 6, 0, 1, 0, 0, 11, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1
n=11 τ=1243: 3763290, 1535207, 2174352, 1767837, 1994176, 1496134, 2028316, 1333828, 1613196, 1400002, 1491191, 1107853, 1450538, 1015596, 1068935, 1031355, 1025935, 793317, 946788, 684288, 792446, 693662, 618559, 517310, 636195, 490334, 483795, 432288, 438545, 352040, 408434, 292745, 311630, 284867, 255834, 234898, 267252, 191952, 185679, 177865, 186232, 142166, 160978, 116730, 115187, 121503, 102725, 86464, 102757, 74906, 75723, 69379, 67843, 50755, 61223, 49497, 47371, 43658, 35241, 31189, 41500, 26903, 25412, 26919, 24336, 20775, 22053, 15432, 16000, 15455, 14645, 11527, 14570, 8759, 8812, 9220, 8078, 6370, 8098, 4763, 6182, 5400, 4197, 3545, 4861, 3079, 2496, 2699, 2605, 1985, 2805, 1700, 1612, 1613, 1265, 1053, 1446, 659, 934, 727, 891, 550, 726, 376, 451, 469, 370, 193, 320, 176, 252, 257, 222, 110, 151, 87, 87, 87, 78, 27, 141, 30, 28, 32, 20, 36, 53, 11, 2, 14, 24, 0, 10, 0, 0, 15, 8, 0, 1, 0, 9, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2
n=12 τ=1243: 24792705, 10910759, 16533360, 14122494, 16771446, 13081052, 18021175, 12654150, 15658514, 13832859, 15147646, 11935243, 15463215, 11545793, 12544562, 11996744, 12426908, 10119368, 11956066, 9297147, 10640458, 9503351, 9095273, 7833251, 9315804, 7586376, 7726851, 7021622, 7259977, 6116786, 6944148, 5463393, 5799428, 5306461, 5087537, 4676549, 5152020, 4105905, 4116443, 3856940, 4034955, 3361414, 3676690, 2938619, 2991063, 2940759, 2713058, 2398013, 2666845, 2170747, 2208070, 2023366, 2020069, 1692315, 1860035, 1613523, 1605555, 1462155, 1328449, 1207437, 1391416, 1086589, 1076492, 1041609, 988951, 890046, 927042, 759103, 767173, 715695, 705144, 610401, 680743, 525971, 521158, 509296, 474708, 420062, 452481, 358946, 394271, 351446, 313981, 279741, 322225, 261042, 241748, 235621, 222952, 192533, 226782, 173827, 172550, 163252, 143284, 132449, 152481, 109468, 114688, 107110, 107954, 86919, 97807, 73422, 77257, 77416, 64433, 55923, 65340, 49199, 50781, 48651, 46544, 36549, 42528, 32098, 32784, 32117, 27008, 24228, 29626, 19937, 20781, 19796, 18056, 15881, 19235, 12846, 13034, 12915, 12561, 9078, 11618, 7804, 7393, 8560, 7522, 5948, 7054, 4714, 5725, 4953, 4321, 3380, 4776, 2929, 3231, 2768, 2529, 2042, 2917, 1696, 1872, 1576, 1702, 1268, 1558, 1005, 898, 909, 1092, 757, 956, 440, 424, 593, 500, 362, 492, 272, 382, 366, 294, 139, 219, 186, 121, 146, 85, 41, 246, 56, 88, 64, 51, 97, 48, 19, 57, 21, 46, 10, 22, 2, 8, 40, 15, 11, 4, 7, 18, 10, 10, 1, 0, 0, 1, 0, 0, 0, 12, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=13 τ=1243: 167078577, 78310579, 125572259, 112178193, 138963148, 112348565, 157009514, 116407890, 146531960, 132092683, 147772447, 121877344, 156834223, 123155081, 136765845, 130975855, 139376600, 118086398, 138785790, 113749097, 129508700, 117933221, 117811763, 104281065, 121630075, 103220107, 107377980, 99251686, 103870214, 90703152, 101606227, 84886670, 90379185, 83548149, 82941617, 76796486, 83675514, 70774213, 72331681, 67892639, 70958652, 62077282, 66931969, 56909726, 58711578, 56472750, 54579150, 49483050, 53718845, 46299248, 47442928, 43958614, 44381641, 39251134, 41920088, 37570635, 38054861, 35156111, 33728781, 31030091, 33904322, 28907185, 29006697, 27659955, 27148785, 24872114, 25745535, 22562049, 22801149, 21365648, 21301898, 19177075, 20534490, 17545186, 17472403, 16799551, 16245064, 14876339, 15465728, 13477254, 14062746, 12923541, 12305448, 11226847, 12081129, 10633589, 10300947, 9835626, 9603111, 8624461, 9309600, 8076765, 8018132, 7548302, 7165344, 6672837, 7101990, 6023249, 6030815, 5698060, 5674356, 5013288, 5263597, 4527176, 4590823, 4434783, 4113847, 3732379, 4023062, 3463325, 3442037, 3245935, 3191308, 2815704, 2966809, 2606751, 2583759, 2469291, 2301255, 2087892, 2326966, 1911804, 1877843, 1791778, 1755509, 1596427, 1677095, 1410292, 1423705, 1343266, 1309417, 1133639, 1248694, 1051115, 1008871, 1006542, 971779, 838350, 888618, 754563, 793130, 729228, 682660, 607027, 675057, 568912, 556461, 523691, 505149, 438575, 484385, 401735, 404625, 379477, 365857, 320565, 356234, 292080, 287586, 271192, 270088, 228133, 247451, 204443, 202502, 199137, 184026, 160060, 184309, 146601, 149226, 138682, 139434, 110353, 124458, 105833, 102117, 94284, 88633, 77229, 96177, 72974, 72833, 65108, 64970, 56730, 62585, 49038, 50234, 46741, 45886, 36364, 43257, 34488, 33396, 32069, 31142, 25076, 29269, 23073, 23975, 21424, 21248, 15088, 19737, 16413, 14410, 14655, 14710, 11110, 14015, 10339, 9831, 9143, 8844, 7690, 8674, 5848, 6314, 5923, 7529, 4572, 5463, 4105, 3641, 4592, 3804, 3081, 3405, 2273, 3098, 2354, 2229, 1789, 2242, 1954, 1460, 1469, 1489, 818, 1901, 850, 736, 860, 1026, 909, 793, 567, 386, 467, 679, 299, 489, 387, 249, 423, 311, 145, 265, 190, 259, 171, 151, 101, 127, 141, 112, 86, 82, 22, 148, 43, 53, 65, 27, 33, 44, 8, 31, 16, 68, 15, 6, 13, 4, 29, 11, 6, 5, 0, 9, 11, 0, 0, 9, 6, 0, 4, 0, 0, 11, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2
n=14 τ=1243: 1148208090, 567588264, 955035260, 888647973, 1140827286, 953694551, 1350152896, 1048700172, 1338529556, 1232192354, 1402845031, 1201386916, 1539250082, 1260192686, 1421899183, 1370820916, 1486988596, 1301204968, 1524682961, 1301197055, 1478283610, 1370839631, 1408477051, 1276966824, 1471920807, 1290640781, 1362449289, 1279736755, 1351126684, 1214124202, 1348789802, 1175687463, 1255913156, 1176394498, 1193252045, 1116900116, 1210783227, 1066208889, 1102726442, 1043989361, 1091720153, 986845526, 1056242374, 936257889, 972911655, 932980279, 926266121, 856658549, 918369194, 821443356, 846407118, 794834584, 808557463, 738473119, 779476415, 714878458, 731126740, 685754795, 676941420, 631239412, 673776969, 602186251, 609517129, 582138397, 581677660, 541971869, 559532590, 508267283, 516173177, 488391978, 490792012, 453383079, 476116713, 427621665, 429668954, 412610813, 407613148, 380464845, 391475642, 355974246, 366103801, 343261578, 336294537, 313260108, 327771558, 299582572, 296836940, 283458480, 281119539, 259922005, 271385552, 247015726, 247249701, 234428298, 229212628, 216293187, 223950483, 201999445, 202399567, 192639324, 191991355, 176807559, 181530250, 164935122, 166523854, 159847610, 154289832, 143944995, 149477481, 135753436, 135602929, 128724255, 127453111, 117725774, 120527310, 110783967, 110516681, 105611458, 102138909, 95357422, 100185086, 89604020, 88664255, 84673054, 83364695, 78235603, 79997988, 72067509, 72475665, 68792448, 67487940, 62198313, 64679562, 58598757, 57484718, 55684000, 54501934, 50226119, 51420236, 46492863, 47373732, 44721084, 43074107, 40077326, 41850716, 37937015, 37263585, 35593964, 34767990, 32053655, 33299853, 29874863, 29886271, 28461267, 27597383, 25707663, 26701710, 23875465, 23612457, 22484399, 22332901, 20421199, 20879303, 18770007, 18771392, 18086258, 17298369, 16024022, 16847136, 14932564, 14927173, 14161651, 13895230, 12673274, 13034468, 11872789, 11752689, 11134348, 10691530, 9877245, 10557527, 9255820, 9237559, 8671272, 8511774, 7882975, 8097486, 7195399, 7216973, 6885469, 6669871, 6070283, 6367535, 5643736, 5563364, 5370362, 5243475, 4754854, 4922511, 4344368, 4422869, 4156174, 3987274, 3645252, 3848302, 3430388, 3351449, 3197516, 3125432, 2823974, 3008810, 2607768, 2625184, 2462731, 2366365, 2164268, 2316190, 2007590, 1989461, 1874230, 1877665, 1673314, 1731722, 1508789, 1546150, 1479858, 1401860, 1259824, 1348663, 1153297, 1176210, 1112401, 1074007, 943989, 1015582, 885641, 886054, 830537, 811128, 709923, 800954, 654093, 663159, 626761, 616557, 559526, 583500, 491975, 495767, 464245, 462517, 401991, 448760, 367479, 366182, 353368, 342010, 302032, 315542, 277829, 284886, 258965, 252518, 224128, 243716, 203813, 200452, 185133, 187599, 162009, 187469, 145215, 149486, 139039, 135651, 120653, 129364, 109336, 107739, 98957, 104538, 84877, 93661, 75245, 76473, 76772, 71519, 61320, 68964, 54120, 56292, 54417, 51795, 42412, 47572, 41326, 38831, 36711, 37469, 29866, 37353, 26786, 24882, 25340, 27509, 22073, 25384, 17905, 17650, 17435, 20578, 15329, 15839, 13388, 12423, 14008, 11982, 9393, 11583, 7860, 10669, 8286, 7667, 6642, 8005, 6891, 5893, 5643, 5465, 4284, 5855, 3968, 3734, 3632, 3371, 3684, 3613, 2470, 2444, 2281, 2784, 1698, 2460, 1763, 1712, 1643, 1556, 897, 1581, 1009, 1385, 1225, 921, 613, 1003, 659, 508, 777, 508, 433, 750, 466, 284, 459, 414, 322, 334, 197, 277, 245, 315, 183, 154, 137, 89, 161, 83, 69, 232, 58, 136, 118, 61, 34, 79, 68, 50, 27, 38, 16, 91, 10, 32, 31, 7, 15, 22, 7, 5, 41, 15, 12, 3, 6, 6, 21, 14, 1, 3, 1, 11, 4, 0, 0, 0, 1, 0, 0, 0, 0, 13, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=15 τ=1243: 8026793118, 4152765025, 7283925999, 7033821514, 9312861517, 8032164204, 11506329404, 9308787046, 12024076062, 11301634561, 13062382952, 11552647193, 14763623249, 12526778623, 14308774437, 13927020574, 15328468478, 13786892675, 16128180461, 14222155040, 16149488085, 15230756569, 15960294665, 14776787953, 16906103073, 15229712646, 16247860493, 15488699042, 16465904007, 15150646379, 16745497214, 15072352915, 16147745726, 15331145206, 15779258449, 14949289018, 16163270073, 14666797797, 15292600224, 14631978535, 15325126534, 14194536669, 15135695775, 13825506401, 14430824036, 13899689268, 14034253306, 13200552956, 14051772693, 12912692581, 13357389930, 12709402124, 13004550138, 12145953734, 12750198225, 11912104210, 12251523437, 11648351685, 11688958551, 11049244852, 11657335549, 10735632708, 10934249090, 10511333824, 10612735311, 10034210498, 10350943289, 9632745160, 9821232174, 9388087407, 9489757613, 8934267541, 9293331333, 8601495663, 8698672742, 8391164170, 8393904729, 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n=0 τ=1324: 1
n=1 τ=1324: 1
n=2 τ=1324: 2
n=3 τ=1324: 6
n=4 τ=1324: 23, 1
n=5 τ=1324: 103, 10, 6, 1
n=6 τ=1324: 513, 75, 74, 26, 17, 9, 6
n=7 τ=1324: 2762, 522, 645, 321, 290, 130, 166, 47, 54, 48, 41, 4, 8, 2
n=8 τ=1324: 15793, 3579, 5023, 3058, 3232, 1527, 2228, 874, 1159, 893, 875, 340, 503, 281, 269, 207, 156, 112, 123, 21, 54, 2, 0, 6, 5
n=9 τ=1324: 94776, 24670, 37549, 26174, 30409, 15966, 23762, 10965, 15598, 11639, 12070, 6487, 9633, 5690, 6056, 5021, 4579, 3366, 4128, 1991, 2734, 1503, 1488, 1127, 1432, 765, 933, 657, 496, 262, 425, 106, 154, 74, 92, 26, 54, 8, 0, 7, 4, 0, 4
n=10 τ=1324: 591950, 172198, 277089, 213122, 264667, 154452, 228665, 119090, 171635, 130545, 140681, 87346, 129648, 80843, 89519, 77927, 77496, 57636, 72997, 44129, 56802, 38567, 40481, 30585, 39332, 26288, 29031, 23149, 22663, 15442, 20266, 11940, 13360, 10107, 10516, 7633, 9318, 6070, 5707, 4886, 5013, 2983, 3876, 2168, 2205, 1851, 1824, 950, 1214, 526, 685, 386, 485, 74, 391, 116, 92, 32, 42, 3, 65, 32, 0, 0, 0, 0, 4, 4, 1
n=11 τ=1324: 3824112, 1219974, 2043416, 1693787, 2213548, 1420513, 2086877, 1205632, 1719334, 1345649, 1499284, 1018334, 1487469, 982487, 1111324, 994064, 1041082, 795125, 999180, 685365, 853857, 640737, 685976, 541423, 679946, 501230, 546144, 458471, 479249, 364168, 448498, 315978, 353005, 288836, 301293, 241579, 283104, 210799, 217702, 188745, 197027, 145802, 170042, 125405, 132888, 113900, 115130, 86529, 99081, 69574, 79658, 61304, 64454, 46900, 56090, 38556, 42314, 32258, 33958, 24748, 29923, 19324, 21834, 16521, 15886, 12154, 14597, 8298, 9837, 6772, 7068, 4758, 6183, 2874, 4226, 2660, 2398, 1474, 1902, 751, 1314, 798, 482, 400, 388, 208, 316, 74, 87, 148, 86, 10, 32, 38, 24, 0, 16, 4, 14, 0, 0, 6, 0, 0, 0, 0, 1
n=12 τ=1324: 25431452, 8776255, 15146147, 13313437, 18118228, 12624045, 18478260, 11678715, 16415221, 13251790, 15125453, 11018340, 15732940, 10995688, 12588177, 11460251, 12372029, 9809126, 12119490, 9018156, 10987933, 8814422, 9483854, 7816300, 9607182, 7521823, 8188091, 7116222, 7603307, 6165976, 7340428, 5649759, 6318454, 5390556, 5652196, 4766987, 5518967, 4375598, 4628174, 4120798, 4346588, 3523319, 3968838, 3204822, 3456389, 3036285, 3105163, 2570482, 2906629, 2284934, 2505949, 2122665, 2220259, 1816835, 2041644, 1612780, 1754296, 1480901, 1519482, 1264824, 1429234, 1111634, 1187071, 1019939, 1030438, 856066, 953242, 738860, 792032, 664774, 666281, 555224, 625149, 472045, 508776, 428548, 427860, 344011, 379810, 293249, 320317, 263898, 254214, 207802, 237253, 178455, 185328, 153601, 157641, 122916, 137830, 99713, 110575, 86512, 83907, 65457, 81854, 51890, 56847, 47474, 47441, 32057, 40599, 24932, 29534, 22925, 20771, 14162, 20124, 9838, 11696, 9831, 8299, 5296, 7079, 3149, 4766, 3930, 2564, 1342, 3224, 952, 1102, 736, 868, 594, 947, 138, 457, 307, 118, 70, 234, 74, 62, 131, 100, 16, 14, 0, 8, 14, 16, 0, 34, 8, 0, 0, 0, 0, 0, 0, 0, 3
n=13 τ=1324: 173453058, 64082132, 113147663, 104260604, 146612181, 109560721, 160503539, 109670400, 152317983, 126970484, 147484909, 113767036, 159061140, 117250346, 135212948, 124920942, 137323090, 112978397, 137500172, 108569624, 129965139, 109529637, 118055309, 100906997, 121696973, 99792092, 108673370, 97048800, 104538491, 88649192, 103141884, 84257789, 93707749, 82554533, 86929781, 76012659, 86672417, 72176352, 76835695, 69897153, 74105685, 63275809, 70001477, 59581051, 64182581, 57949370, 59636623, 51970330, 57788294, 48524657, 52144729, 46369480, 48501892, 41995070, 45972890, 39036333, 41821098, 37069537, 38161344, 33496227, 36787501, 31010690, 32606636, 29397503, 30153265, 26384529, 28448400, 24206524, 25532501, 22730247, 23108190, 20313839, 22021145, 18612760, 19429113, 17434302, 17719726, 15401476, 16416790, 14062134, 14783531, 13098060, 13168519, 11501117, 12425793, 10527172, 10815007, 9668349, 9914952, 8508054, 9083976, 7666843, 8023645, 7033661, 7097371, 6126294, 6664549, 5479483, 5693910, 5053604, 5180163, 4336661, 4663805, 3845011, 4045356, 3525507, 3567771, 2989306, 3273026, 2653132, 2746947, 2413990, 2445645, 2033221, 2199814, 1790404, 1874993, 1621240, 1627608, 1347135, 1493878, 1181036, 1226965, 1056983, 1081499, 877544, 967276, 755406, 801106, 675852, 695203, 542650, 616900, 469806, 496208, 417440, 427936, 324563, 375458, 280757, 290921, 248151, 250362, 185077, 214669, 155300, 159859, 137873, 136160, 96860, 113921, 80872, 79280, 71884, 66672, 44760, 54186, 38588, 36264, 32560, 31250, 18080, 25479, 17574, 14134, 13586, 12571, 7611, 10232, 7630, 5271, 4905, 5022, 2934, 3478, 3246, 1572, 1756, 2508, 936, 1247, 842, 598, 812, 514, 232, 544, 386, 318, 147, 242, 106, 86, 94, 36, 80, 80, 18, 98, 18, 26, 0, 4, 4, 8, 18, 0, 10, 14, 1, 0, 0, 0, 0, 1, 0, 0, 2
n=14 τ=1324: 1209639642, 474605417, 852978562, 816992536, 1180061353, 935711235, 1376192003, 1006162944, 1386678272, 1193414623, 1405532351, 1137737920, 1562640659, 1210640318, 1403672267, 1315155689, 1463674001, 1245680294, 1497385724, 1239647458, 1462991430, 1281149878, 1383414035, 1219495312, 1445534130, 1232526387, 1341404817, 1226255629, 1324827291, 1162723122, 1328836011, 1135953809, 1253945935, 1134081207, 1197355852, 1077737930, 1209872646, 1048800885, 1117288839, 1035020980, 1099036345, 973419589, 1063488217, 939656653, 1007070132, 929531306, 960900209, 866452135, 948736214, 833377777, 885674109, 811372487, 848426648, 761903429, 820768751, 728858933, 773484627, 706640550, 729347817, 661604804, 714189826, 631053566, 659408278, 610581475, 629711446, 570438457, 604990463, 540003356, 565730907, 519440481, 532327877, 483383614, 514687749, 458379246, 474850003, 439159594, 449164653, 407030045, 427404295, 383896303, 399623097, 366422332, 372411630, 338393647, 357943192, 319825010, 328279853, 303069529, 310398963, 279978132, 293449966, 262713396, 271740284, 248463910, 252332006, 228919132, 240707076, 213683472, 219933974, 202217410, 206878118, 185383631, 193507394, 172233705, 177906116, 162797891, 164755672, 148393245, 155651136, 137954384, 141205404, 129322265, 131530039, 117830183, 122762793, 109236497, 112242175, 102106918, 103093246, 92876892, 97188738, 85559699, 87510809, 79743676, 80918581, 72357180, 75316350, 66355142, 68275757, 61716519, 62477811, 55533644, 58167084, 50971585, 52120715, 47311137, 47823398, 42287427, 44021527, 38604343, 39717773, 35643879, 36000060, 31879152, 33218061, 28829838, 29400800, 26665493, 26838212, 23630483, 24591447, 21285510, 21773886, 19586669, 19589281, 17283308, 18066503, 15506898, 15850217, 14152533, 14304987, 12473921, 13003124, 11178903, 11477342, 10165967, 10156178, 8891789, 9413475, 7879238, 8126242, 7140331, 7226369, 6241268, 6519719, 5508230, 5678847, 4950668, 4976393, 4273392, 4556210, 3711436, 3883720, 3369449, 3404235, 2864803, 3013635, 2474781, 2593223, 2226650, 2199235, 1854989, 1998493, 1562127, 1641914, 1431378, 1404950, 1148752, 1240874, 957140, 1024765, 850426, 835001, 684449, 745865, 560278, 584871, 495888, 471491, 373310, 434219, 301343, 333310, 273992, 253462, 202401, 229272, 155129, 176463, 137148, 130395, 102738, 117891, 73780, 93402, 67331, 60703, 53238, 58839, 32065, 46152, 29420, 30315, 24315, 26618, 15016, 21005, 13312, 13403, 11842, 12127, 6517, 8808, 5375, 6238, 5300, 4505, 2709, 4052, 2300, 2645, 1788, 2578, 1090, 2016, 1036, 790, 524, 725, 406, 890, 280, 463, 294, 586, 151, 282, 62, 36, 78, 182, 78, 104, 30, 72, 52, 40, 16, 0, 30, 28, 24, 14, 8, 11, 0, 0, 4, 0, 0, 14, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1
n=15 τ=1324: 8604450011, 3562460562, 6492322934, 6422468054, 9484203092, 7908909125, 11697255314, 9068403846, 12451071292, 11053264196, 13170055176, 11114323122, 15049412205, 12195017999, 14218427532, 13513450263, 15182605983, 13324765975, 15866441263, 13659896311, 15953232737, 14410933401, 15602604988, 14126785514, 16502763172, 14542908216, 15821391090, 14758338527, 15962622394, 14411134187, 16241897384, 14390352893, 15780101883, 14588286277, 15428283793, 14223504784, 15758486376, 14110984280, 15017862618, 14135695689, 15004479066, 13670198594, 14797760360, 13454159328, 14346925987, 13483032926, 13978278884, 12926080342, 13983290408, 12688190869, 13396521570, 12540594185, 13095792238, 12076276593, 12870257517, 11789953756, 12426722727, 11608233335, 11990218680, 11142308112, 11886616867, 10843640547, 11288382769, 10649759612, 10996242224, 10216709468, 10730638971, 9877604688, 10292379374, 9658078863, 9920801659, 9229808868, 9719695920, 8936868022, 9226315752, 8709639198, 8918610503, 8303242316, 8646250282, 8000239094, 8284328671, 7773083290, 7920757044, 7390971081, 7723880408, 7131587173, 7307150466, 6892859547, 7046320307, 6551756598, 6802409657, 6293117426, 6471244088, 6073224331, 6171896201, 5767782655, 5982333444, 5517253190, 5649950793, 5321109559, 5429271590, 5039000470, 5200473630, 4806994824, 4929118296, 4635559258, 4689081250, 4372542727, 4519428928, 4169898436, 4253016439, 3998553353, 4057968781, 3772111345, 3879765025, 3594248391, 3665414532, 3437452455, 3470744902, 3239060762, 3338449244, 3074218294, 3125816250, 2936466586, 2969558429, 2764906871, 2833725832, 2615474032, 2665159310, 2494916306, 2518458860, 2339193550, 2403440986, 2213323004, 2245513050, 2110377175, 2125334488, 1970841646, 2016328546, 1859626896, 1893306300, 1766388203, 1777946965, 1651502294, 1691020902, 1554382343, 1572254576, 1474258130, 1482059011, 1372886476, 1404893938, 1289054467, 1306540597, 1220907965, 1223527332, 1136558566, 1161376138, 1063213331, 1075577343, 1004223685, 1010932736, 932131940, 951986031, 872324450, 883855163, 823571452, 823096948, 761169704, 780152030, 709602778, 719821372, 668405321, 670839353, 617430816, 630291315, 575649829, 582363130, 539635973, 540317334, 497022944, 510415719, 461095728, 467536427, 432954928, 434510574, 398109221, 405962524, 367944034, 373280359, 344605119, 345190513, 315093475, 323239944, 290513737, 294264576, 272879328, 271970559, 247719331, 253817856, 227932846, 232096916, 212477958, 212270249, 192955324, 198428135, 177597634, 179349036, 165208881, 164604371, 149013772, 153966765, 136538830, 138675058, 127086653, 126438698, 114665871, 117959951, 104295927, 105874057, 96808066, 96866827, 86820920, 89549255, 78891249, 80420623, 73503987, 72741050, 65427042, 67564894, 59094790, 60494707, 54702246, 54488743, 48573029, 50277589, 44087168, 44638278, 40432693, 40076969, 35760074, 37301869, 31994169, 32488514, 29476272, 29230026, 25918143, 26793639, 22997566, 23403683, 21112238, 20866831, 18323422, 19096388, 16152379, 16398872, 14950027, 14473899, 12613222, 13207920, 11110095, 11358636, 10170384, 9790026, 8562542, 9009639, 7451720, 7478034, 6811981, 6413727, 5580020, 6006228, 4812244, 4842174, 4426100, 4108061, 3609496, 3804539, 2978182, 2999640, 2806308, 2569286, 2186756, 2371219, 1811414, 1819820, 1755821, 1505339, 1288856, 1427609, 1046076, 1078543, 1035518, 870091, 733946, 836419, 624114, 592276, 594459, 481835, 399968, 487576, 329784, 331742, 329302, 259722, 236354, 261097, 177132, 171066, 175595, 150813, 116712, 137399, 92074, 92637, 99206, 71725, 60273, 70717, 44857, 54531, 48631, 36347, 29282, 35865, 28726, 24294, 21430, 15930, 14814, 22150, 12134, 12888, 12742, 7673, 8742, 8200, 6038, 4864, 3350, 5172, 3902, 5982, 2288, 2130, 3390, 2306, 1782, 1561, 780, 1425, 1018, 1346, 986, 755, 386, 372, 632, 434, 214, 607, 142, 376, 376, 200, 110, 100, 22, 20, 122, 79, 44, 120, 52, 26, 90, 0, 18, 22, 0, 28, 8, 28, 10, 0, 0, 6, 6, 0, 0, 4, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1

n=0 τ=1342: 1
n=1 τ=1342: 1
n=2 τ=1342: 2
n=3 τ=1342: 6
n=4 τ=1342: 23, 1
n=5 τ=1342: 103, 10, 6, 1
n=6 τ=1342: 512, 77, 69, 30, 21, 5, 6
n=7 τ=1342: 2740, 548, 598, 330, 335, 123, 174, 58, 58, 37, 26, 3, 9, 1
n=8 τ=1342: 15485, 3799, 4686, 2970, 3411, 1676, 2338, 1040, 1317, 878, 777, 363, 608, 230, 252, 165, 133, 30, 93, 26, 31, 4, 1, 3, 4
n=9 τ=1342: 91245, 26165, 35148, 24550, 30182, 17185, 24685, 12976, 16867, 12248, 12360, 7203, 11086, 5692, 6391, 5194, 5006, 2751, 3917, 2019, 2482, 1622, 1371, 812, 1233, 490, 495, 416, 360, 157, 282, 54, 78, 41, 29, 22, 49, 7, 4, 0, 6
n=10 τ=1342: 555662, 180512, 258390, 194524, 249925, 157765, 228949, 137892, 178897, 136866, 147875, 97336, 144013, 86383, 97551, 83482, 87825, 57805, 75538, 48428, 59365, 44334, 43055, 30914, 40620, 25178, 26230, 21239, 21735, 14478, 18540, 10413, 11956, 8481, 8007, 5559, 7822, 3944, 3937, 2917, 3450, 1677, 2394, 1149, 1250, 1028, 811, 379, 802, 216, 322, 236, 249, 90, 189, 50, 65, 35, 16, 2, 36, 0, 12
n=11 τ=1342: 3475090, 1251832, 1882813, 1506786, 1998264, 1364500, 1991958, 1318382, 1727153, 1382970, 1540425, 1108017, 1581056, 1057910, 1212103, 1062295, 1152892, 843320, 1060298, 761390, 916286, 740645, 749373, 594592, 742181, 536033, 568444, 485474, 512375, 392372, 469748, 334596, 371632, 300252, 299179, 240512, 288754, 200025, 206566, 171109, 188723, 132675, 152423, 106675, 115972, 97837, 90729, 66595, 84156, 53183, 58167, 45687, 46707, 32569, 38358, 24868, 27436, 20574, 19746, 13524, 18937, 10616, 10981, 8781, 9015, 5447, 7130, 4028, 4673, 3378, 3130, 1960, 3506, 1238, 1538, 1296, 1094, 619, 941, 297, 546, 423, 198, 120, 356, 56, 82, 62, 26, 6, 80, 2, 14, 8, 8, 0, 2
n=12 τ=1342: 22214707, 8738589, 13677083, 11526118, 15665661, 11398325, 16697865, 11892431, 15657307, 13146490, 14923495, 11454525, 15881619, 11521333, 13321360, 11944804, 13254482, 10374283, 12724459, 9851674, 11665697, 9917844, 10306735, 8630759, 10480659, 8223647, 8808245, 7791411, 8346476, 6859181, 7977074, 6289850, 6928726, 5955907, 6096004, 5239292, 6017995, 4725694, 4943275, 4340428, 4697254, 3758371, 4179636, 3344393, 3577298, 3162381, 3118437, 2592499, 2961852, 2294568, 2432003, 2079614, 2139605, 1734185, 1901861, 1519123, 1599323, 1343587, 1335806, 1085587, 1266893, 942313, 965417, 829452, 846648, 674188, 733843, 558630, 592884, 490089, 491349, 383825, 454196, 316698, 329041, 282951, 282275, 214014, 241745, 171373, 194393, 154574, 148560, 112230, 138781, 92802, 96318, 79552, 82551, 57634, 72258, 45549, 50946, 40047, 38573, 27677, 38941, 21810, 23530, 19706, 19903, 12802, 16907, 9003, 11375, 8778, 7554, 4715, 8589, 3801, 4192, 3753, 3573, 1771, 2849, 1086, 1350, 1414, 838, 481, 1467, 275, 349, 386, 235, 85, 549, 51, 83, 64, 48, 12, 28, 12, 12, 32, 22, 0, 8
n=13 τ=1342: 144640291, 61427007, 99350385, 87560315, 121421051, 93192930, 136830924, 103419363, 136672793, 119315213, 138031238, 111696062, 151202766, 116971554, 135906056, 124580063, 140037735, 115658921, 139644096, 114436445, 133613761, 117906838, 124722055, 108643320, 129040599, 107422964, 115633667, 105173264, 113174762, 97659654, 111208578, 93567901, 102367370, 91395049, 94833294, 84819887, 95056331, 80203419, 84265696, 76646388, 82187122, 70491796, 77030123, 66108416, 70218708, 64134915, 64858970, 57233903, 63052576, 53526709, 56299066, 50565171, 52234568, 45533170, 48750245, 42361801, 44227464, 39428986, 39865736, 35008459, 38451250, 32240928, 33106160, 29925282, 30562117, 26648415, 28067892, 23953645, 24868861, 22055001, 22365061, 19332739, 20945764, 17373399, 17746154, 16001316, 16117719, 13812676, 14559283, 12219767, 12875743, 11191938, 11117616, 9533879, 10320707, 8540197, 8622816, 7624463, 7745220, 6475824, 6983088, 5680214, 5876819, 5098835, 5054767, 4296912, 4711414, 3738382, 3808322, 3339461, 3401501, 2784436, 2984530, 2382808, 2509198, 2160963, 2110198, 1741581, 1958196, 1500727, 1563729, 1344849, 1366960, 1079255, 1183705, 925144, 972262, 827655, 802653, 647090, 765518, 549631, 566357, 487946, 491744, 386161, 440586, 318622, 349639, 284617, 281010, 213095, 257613, 179502, 183127, 162676, 162412, 116092, 138008, 94909, 106754, 89380, 80685, 60042, 81535, 48538, 49754, 44219, 44126, 30576, 39107, 22619, 25712, 22490, 19331, 12382, 20153, 10380, 10185, 9880, 9210, 5527, 9962, 3831, 4257, 4843, 3270, 1718, 4611, 1417, 1230, 1993, 1269, 455, 1315, 377, 483, 467, 441, 185, 562, 122, 203, 156, 120, 32, 82, 38, 36, 50, 0, 0, 30
n=14 τ=1342: 956560748, 434771094, 722871146, 662750304, 934876708, 751478472, 1105249010, 878091956, 1163908841, 1050792608, 1232974387, 1045940694, 1390209771, 1132834621, 1321214208, 1236805372, 1401354584, 1208329142, 1443124309, 1236957886, 1433140011, 1302252895, 1394373843, 1253570607, 1464980654, 1273634684, 1376870038, 1281583509, 1381967875, 1236493478, 1388605873, 1221465422, 1330667855, 1221692677, 1278279426, 1175427542, 1298643660, 1147285010, 1208541788, 1126137655, 1200796682, 1076113053, 1163301211, 1042039676, 1103013371, 1030728206, 1055625911, 965408099, 1044705658, 932719275, 977518154, 905525193, 938025238, 852366650, 903034583, 819507483, 854284246, 788605148, 804183294, 736031720, 788848197, 702897935, 723058916, 673848999, 690657400, 630569467, 657554242, 593443260, 612642539, 565392448, 576218957, 524440321, 553459594, 493393314, 503659632, 469159350, 475402362, 431772024, 447297875, 402256565, 415959825, 380464093, 382194410, 347531302, 363835162, 325409045, 328909203, 303405099, 307147828, 276596207, 287679472, 256043629, 261048674, 238643658, 238667874, 216674322, 225619307, 199217114, 201232088, 184633175, 186688939, 166657279, 171679611, 152093502, 155171860, 141590828, 140279108, 125882976, 131313263, 114799026, 116522248, 105782773, 106454706, 94084964, 96993458, 85550434, 86875546, 78482918, 77685133, 69176758, 72868541, 62610320, 63066815, 57054076, 57308067, 50579679, 52350861, 45196508, 46260536, 41249907, 41146608, 36013455, 37934947, 32310627, 32546046, 29497869, 29561578, 25486745, 26546460, 22685270, 23430952, 20695886, 20450863, 17770542, 19018041, 15843421, 15990557, 14299954, 14363749, 12264473, 13017036, 10793246, 11128894, 9799765, 9651984, 8315575, 8964695, 7289145, 7387145, 6551795, 6689041, 5553676, 5939060, 4798872, 4997840, 4421844, 4270216, 3596802, 4019103, 3132366, 3243381, 2835672, 2845399, 2322191, 2523285, 2014812, 2108422, 1798913, 1757874, 1447884, 1686490, 1253642, 1280692, 1122826, 1130356, 906661, 1006098, 761223, 811753, 682541, 663750, 525849, 641824, 449691, 453052, 417108, 402734, 306950, 360032, 254250, 287177, 239648, 214973, 168060, 220333, 140910, 143654, 129356, 128490, 88660, 126131, 74626, 82044, 71909, 60701, 44711, 71091, 37729, 37235, 36535, 33050, 22074, 32824, 17413, 19579, 20931, 13984, 8389, 18405, 7634, 8234, 7614, 7453, 4187, 7459, 3485, 3833, 3078, 3191, 1360, 3648, 1060, 1125, 1533, 1231, 605, 930, 363, 598, 278, 222, 124, 453, 52, 66, 130, 89, 53, 156, 6, 20, 60, 0, 0, 12
n=15 τ=1342: 6411521056, 3097485378, 5272996671, 5008125331, 7170873689, 6004243195, 8844327300, 7335229964, 9748540451, 9063289887, 10758149479, 9487931842, 12470024761, 10612304521, 12414187509, 11857260713, 13512163022, 12072543622, 14305851322, 12722159392, 14658344372, 13665243948, 14774560821, 13637105162, 15747634954, 14175386764, 15372110873, 14593194210, 15762005605, 14515270751, 16145224996, 14693174316, 15950940222, 14989583933, 15767107569, 14821095846, 16216869943, 14820277182, 15636218219, 14856485188, 15786135272, 14592525370, 15656961038, 14462737018, 15268304014, 14530863153, 14985663888, 14057574689, 15044199667, 13888198982, 14520386015, 13753575029, 14260692716, 13328796453, 14028183049, 13099691249, 13632166449, 12885777437, 13200726623, 12408191914, 13121799471, 12131795907, 12488371868, 11884472616, 12200796906, 11458548231, 11889755334, 11092081346, 11424144165, 10811973948, 11043689489, 10362180155, 10811397666, 10025452757, 10241929798, 9748649175, 9914602513, 9300169406, 9578003104, 8936927889, 9182952548, 8659156976, 8750798486, 8219303872, 8500816586, 7913070123, 8019877010, 7598388173, 7702728041, 7203185145, 7406990630, 6888118805, 7002305935, 6605186273, 6643540638, 6242402137, 6411176013, 5942176388, 6004733237, 5673667735, 5732802086, 5343389424, 5448547313, 5061722086, 5130819470, 4838302755, 4835733761, 4520784154, 4625428365, 4274269790, 4314228471, 4056749300, 4080909429, 3790003469, 3851291430, 3573599154, 3603139142, 3379366409, 3369769380, 3141530056, 3213713295, 2952424220, 2962232834, 2778757159, 2783806115, 2585126181, 2621224953, 2413501054, 2432583518, 2269350412, 2264933307, 2096624114, 2136044596, 1957432919, 1959375164, 1836934600, 1834260888, 1688993696, 1710474680, 1569099275, 1583739779, 1469466915, 1459871844, 1346879581, 1374268513, 1251773895, 1250717428, 1165293330, 1162618912, 1066591650, 1083803365, 985348971, 991261192, 917424320, 910372213, 837234165, 853225362, 771388392, 770902896, 714924803, 716178157, 651215157, 660854226, 597322440, 601216868, 556246224, 549212282, 501274015, 514072560, 460129591, 462032026, 425628558, 424320387, 384017360, 390544968, 351931824, 354116037, 324379470, 320836466, 290841709, 300365919, 266080309, 266224469, 244577049, 244095068, 219981602, 224057771, 199320015, 201162664, 183579148, 181813580, 163173820, 169123417, 148263736, 148276288, 136581342, 135723040, 120832783, 123890960, 108949156, 111028689, 100263565, 98765220, 88107226, 91784228, 79937237, 79838982, 72782347, 72657133, 63940542, 66557184, 57432881, 58269218, 52601172, 51552973, 45874461, 48331606, 41060682, 41125191, 37351917, 37455201, 32545535, 33779994, 28865327, 29521542, 26725131, 25884266, 22635886, 24106109, 20160449, 20426293, 18348357, 18282461, 15705038, 16527848, 13919813, 14177198, 12721389, 12326012, 10609730, 11760772, 9437368, 9486838, 8559878, 8479032, 7259164, 7637440, 6265875, 6489283, 5720598, 5604045, 4698235, 5259750, 4136313, 4132825, 3836920, 3744806, 3056824, 3342285, 2636617, 2816988, 2478196, 2309603, 1928416, 2256050, 1704013, 1705090, 1533545, 1515413, 1216412, 1407586, 1041555, 1102590, 969482, 879792, 740973, 899983, 634147, 626451, 593631, 590238, 433022, 507109, 360135, 394966, 367540, 315745, 240709, 337199, 208260, 213711, 198779, 189922, 140371, 174735, 116649, 126385, 114097, 96422, 69305, 111283, 60909, 59960, 58787, 57985, 39667, 51205, 28454, 35853, 30853, 25807, 17626, 29584, 13911, 14853, 14128, 13658, 8152, 11545, 6287, 8943, 5659, 5888, 2784, 7380, 2441, 3280, 2407, 2704, 982, 2124, 1019, 1063, 836, 909, 481, 1329, 292, 168, 438, 299, 88, 250, 162, 132, 151, 24, 12, 119, 31, 12, 36, 6, 0, 18

n=0 τ=1432: 1
n=1 τ=1432: 1
n=2 τ=1432: 2
n=3 τ=1432: 6
n=4 τ=1432: 23, 1
n=5 τ=1432: 103, 11, 5, 0, 1
n=6 τ=1432: 513, 87, 68, 17, 18, 10, 0, 4, 2, 0, 1
n=7 τ=1432: 2761, 625, 626, 268, 274, 138, 112, 58, 51, 44, 31, 9, 15, 8, 12, 0, 5, 0, 0, 0, 3
n=8 τ=1432: 15767, 4378, 5038, 2781, 3060, 1697, 1817, 1036, 964, 773, 656, 450, 379, 320, 285, 148, 237, 97, 98, 55, 68, 61, 23, 30, 30, 13, 30, 0, 0, 0, 16, 0, 10, 0, 0, 1, 0, 0, 0, 0, 2
n=9 τ=1432: 94359, 30671, 38541, 24731, 28881, 17943, 21193, 13040, 14245, 10607, 10156, 7596, 7574, 5938, 5647, 3722, 4904, 3131, 3256, 2205, 2372, 1729, 1572, 1423, 1130, 846, 1014, 634, 644, 316, 609, 295, 371, 190, 306, 105, 195, 82, 94, 182, 86, 32, 79, 0, 49, 18, 41, 8, 30, 0, 43, 0, 20, 0, 0, 4, 1, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2
n=10 τ=1432: 586590, 216883, 289785, 205853, 251051, 170941, 211942, 142187, 163587, 128113, 128732, 100701, 109971, 85489, 85649, 67021, 75089, 56874, 60397, 45806, 49198, 40624, 37457, 32975, 31394, 26058, 26056, 20705, 20996, 14894, 17646, 12853, 13931, 10583, 10699, 8066, 8780, 6271, 6318, 6394, 5366, 3753, 4414, 2917, 3838, 2395, 3069, 1715, 2167, 1181, 1746, 1424, 1579, 880, 927, 841, 617, 569, 697, 293, 765, 139, 373, 268, 329, 241, 317, 85, 200, 108, 202, 94, 92, 16, 24, 78, 92, 19, 140, 0, 107, 5, 16, 10, 1, 4, 0, 0, 30, 0, 72, 4, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 2
n=11 τ=1432: 3763290, 1552588, 2172387, 1663964, 2096207, 1535129, 1954751, 1417314, 1674215, 1367302, 1442060, 1166386, 1334171, 1059609, 1109249, 930634, 1012528, 817526, 883392, 712076, 770293, 657724, 659051, 567799, 581450, 505877, 505195, 435477, 442807, 363235, 391358, 314376, 330559, 279469, 279737, 233779, 247628, 202488, 198986, 181873, 178728, 145947, 151991, 122028, 133974, 106370, 109130, 88316, 95025, 72848, 77553, 66516, 69104, 54015, 56357, 46890, 45853, 39525, 41001, 29289, 37365, 24516, 28021, 21883, 24707, 20150, 20127, 13574, 17768, 13105, 14200, 11333, 12459, 8252, 8839, 8040, 8981, 5471, 8179, 4280, 6717, 4186, 4545, 3061, 4806, 3268, 2641, 2630, 2670, 1591, 3442, 2364, 2218, 905, 1571, 704, 1344, 916, 734, 877, 1257, 599, 1219, 446, 889, 470, 843, 210, 418, 136, 385, 83, 150, 172, 356, 50, 452, 274, 212, 42, 380, 36, 16, 34, 40, 62, 56, 34, 138, 0, 110, 0, 106, 20, 6, 84, 0, 0, 0, 0, 69, 1, 28, 0, 0, 0, 0, 12, 0, 0, 42, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8
n=12 τ=1432: 24792705, 11257405, 16339840, 13286059, 17166535, 13342792, 17270665, 13349423, 16047541, 13674191, 14782197, 12495229, 14510651, 11950085, 12848570, 11273592, 12221956, 10356099, 11251479, 9546217, 10298573, 9082257, 9324341, 8275320, 8667730, 7721866, 7860604, 7079346, 7221949, 6368099, 6691505, 5817602, 6010995, 5347849, 5398713, 4781879, 4984880, 4340037, 4313360, 3994005, 4001050, 3517485, 3589095, 3129407, 3243738, 2858180, 2874791, 2527280, 2605254, 2248068, 2263323, 2029382, 2064796, 1799882, 1817702, 1608412, 1587498, 1436577, 1433183, 1222763, 1321425, 1092287, 1123667, 976097, 1004678, 885164, 878035, 736530, 781043, 680387, 682899, 589678, 618579, 514038, 513575, 466313, 467493, 381747, 421439, 338296, 372788, 313124, 303886, 254888, 293027, 241197, 231793, 211704, 209470, 174230, 194409, 158435, 166388, 135712, 142814, 113018, 129306, 104780, 103019, 90410, 101796, 78365, 89409, 63076, 78379, 61316, 66326, 49144, 59507, 42221, 49495, 38755, 42856, 32801, 37134, 27986, 37955, 30700, 26374, 22924, 30661, 16109, 19888, 16728, 18152, 13988, 17348, 12402, 16456, 11564, 15117, 8235, 12275, 8723, 7395, 7553, 10320, 4424, 8501, 4434, 7204, 5234, 6785, 3844, 5241, 3348, 3147, 3256, 3437, 1523, 5045, 1862, 2524, 2418, 2443, 1120, 3308, 1438, 1141, 1664, 2221, 1322, 1106, 411, 1143, 689, 1057, 738, 957, 570, 914, 490, 328, 312, 936, 133, 598, 363, 500, 25, 1164, 122, 147, 85, 338, 94, 68, 168, 28, 204, 132, 30, 454, 0, 176, 114, 62, 2, 62, 50, 161, 7, 0, 50, 94, 6, 0, 0, 56, 0, 170, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53, 1, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6
n=13 τ=1432: 167078577, 82635707, 123650958, 105667570, 139374974, 113895595, 149096834, 121511098, 147817806, 131071252, 144382042, 126427664, 148305624, 126518199, 138317023, 125503388, 136741352, 120197925, 131571957, 115676150, 125190189, 113579286, 117912407, 107278286, 114221913, 103356358, 106860037, 98882538, 101916482, 92662475, 97505900, 88071106, 91398572, 84027085, 85386059, 78443144, 81840064, 73958688, 74520338, 69989978, 70911831, 64884279, 66321982, 60189456, 61730930, 56698913, 57160939, 52463271, 53623057, 48736296, 49157475, 45497042, 45930539, 42002933, 42388236, 38908869, 38976287, 36029317, 35934274, 32704855, 33805730, 30220950, 30420123, 27948221, 28151054, 25785017, 25836777, 23303987, 23663958, 21726259, 21641478, 19693995, 20014727, 17984724, 17991405, 16666892, 16591093, 14815400, 15216531, 13571097, 13913513, 12551389, 12383860, 11171247, 11610392, 10409437, 10251785, 9403247, 9375559, 8399157, 8639754, 7696911, 7794102, 6983834, 7030505, 6244992, 6502900, 5772535, 5662223, 5153705, 5284762, 4667814, 4847456, 4177495, 4333592, 3886732, 3876410, 3402462, 3581727, 3060795, 3189948, 2825049, 2889852, 2503904, 2615203, 2282196, 2387405, 2141368, 2085477, 1850650, 2009077, 1642802, 1686340, 1516833, 1558583, 1355713, 1436919, 1202123, 1290817, 1135721, 1182768, 969682, 1080540, 891720, 901380, 814901, 871316, 694723, 780689, 631161, 703384, 607041, 617584, 530854, 579622, 478027, 492074, 435001, 449363, 364509, 435973, 336157, 381776, 327507, 317785, 272188, 333327, 242733, 250069, 231165, 259631, 201827, 214523, 173912, 205855, 165162, 176560, 142260, 170547, 132480, 151227, 122546, 124419, 98276, 128849, 89349, 102933, 96271, 92593, 63348, 105028, 66276, 75360, 53142, 75013, 49917, 57013, 49359, 55568, 50893, 52710, 35228, 55981, 35232, 33533, 37959, 35774, 25904, 30912, 22744, 28593, 26418, 22986, 17187, 28221, 14866, 22258, 16458, 20839, 9410, 22519, 10496, 16017, 12467, 14679, 8147, 13486, 8406, 9860, 8626, 11165, 6928, 7635, 3508, 6465, 7739, 4803, 3497, 9785, 2107, 5110, 6954, 7523, 2176, 3814, 4351, 3445, 2690, 3512, 1778, 3750, 1950, 2259, 994, 2720, 876, 2748, 674, 1236, 1874, 1358, 719, 2562, 917, 1409, 760, 2016, 212, 1938, 534, 1447, 633, 858, 260, 594, 516, 352, 804, 92, 86, 1030, 72, 22, 294, 236, 42, 454, 72, 492, 0, 745, 567, 85, 28, 323, 102, 36, 70, 236, 16, 18, 504, 0, 0, 216, 0, 40, 46, 48, 0, 0, 96, 0, 0, 0, 0, 0, 0, 242, 10, 0, 0, 188, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 77, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6
n=14 τ=1432: 1148208090, 613600423, 942437531, 840666488, 1128342657, 962828255, 1271168267, 1083482902, 1329521948, 1220487715, 1366521458, 1236662221, 1454380928, 1286932736, 1419285380, 1324958088, 1450927340, 1316992054, 1448383305, 1313931115, 1425411433, 1326730855, 1388174312, 1293014730, 1384935694, 1280554341, 1333167879, 1260131720, 1309530657, 1219118482, 1282125564, 1191430398, 1238951871, 1167213145, 1193596971, 1123414436, 1171199889, 1091527525, 1108835317, 1058022745, 1079232364, 1014381840, 1039281617, 971920967, 994397140, 938949297, 948889239, 894833886, 914981555, 856370528, 865893222, 820723079, 829235521, 780763589, 789794864, 744406502, 750037643, 710119824, 711191811, 668928222, 682572289, 636266651, 638637631, 604953014, 607310335, 571911637, 574323749, 537609277, 541484947, 511169640, 509816644, 479733456, 483730020, 451887317, 451618294, 428346215, 426437740, 398618022, 401479351, 374586011, 377660285, 354133951, 351164113, 329181304, 332937633, 310984853, 308237299, 290592474, 289106211, 270090480, 271560672, 253441271, 253124051, 236747340, 235062286, 219736531, 221695989, 206049630, 203452748, 191323398, 191288161, 178102622, 178803806, 165179000, 165452677, 155107003, 153324790, 142562946, 143844517, 132415529, 132885566, 123832617, 123453392, 114102856, 114526363, 106321791, 106378281, 99228522, 97771546, 91259770, 92408844, 84385596, 83928817, 78437154, 78297039, 72378052, 72882485, 66604224, 67132143, 62313852, 62452082, 56978959, 58190506, 52995055, 52656632, 49253420, 49541366, 44887425, 45756496, 41573016, 42167251, 38897129, 38705428, 35457683, 36273260, 32999108, 32867205, 30591150, 30605810, 27774462, 28750911, 25696849, 26266952, 24154936, 23851122, 21854565, 22708282, 20316647, 20225744, 18732169, 19243311, 17223281, 17605141, 15754940, 16222814, 14769510, 14803696, 13350699, 13987370, 12459209, 12784393, 11588933, 11641661, 10379136, 10878658, 9717188, 10004227, 9227944, 9066145, 7985848, 8812119, 7597269, 7790160, 6922505, 7259118, 6381673, 6648741, 5917102, 6113391, 5570397, 5661468, 4948219, 5393290, 4625459, 4681627, 4378278, 4438503, 3860880, 4066828, 3518923, 3772636, 3407845, 3357386, 2933779, 3287466, 2802533, 2925762, 2580944, 2768187, 2290431, 2613288, 2137454, 2264040, 2098638, 2095068, 1818010, 1996248, 1646579, 1717428, 1582476, 1671694, 1431070, 1511723, 1261132, 1362464, 1252093, 1218800, 1034129, 1267252, 987562, 1075968, 954239, 1063591, 817044, 920443, 803613, 851729, 747643, 742306, 605604, 775045, 581230, 638750, 537243, 594464, 517263, 543040, 445270, 509315, 452316, 447325, 384408, 471287, 347079, 357175, 343196, 362463, 276564, 329517, 264095, 340370, 263925, 260835, 209472, 278353, 215349, 233966, 204500, 197675, 149331, 223103, 153442, 168999, 138345, 149244, 122686, 167953, 119896, 127859, 112390, 152308, 106641, 123761, 91474, 104558, 101359, 94387, 62296, 90113, 66488, 83683, 62039, 72775, 45578, 69099, 54435, 64424, 50138, 47856, 29553, 69492, 45773, 32841, 42909, 47537, 34087, 44760, 23820, 44313, 34465, 33639, 22306, 34838, 22380, 22493, 23485, 19948, 13968, 21621, 11465, 19847, 17927, 16662, 7875, 25292, 11301, 12043, 10610, 22909, 11089, 14970, 10160, 17442, 10538, 7988, 4538, 14810, 7363, 5244, 6353, 5290, 4148, 7645, 3204, 5483, 6618, 5199, 1690, 8332, 4479, 4269, 4235, 5206, 1081, 2512, 6141, 4874, 2110, 3972, 2206, 5091, 1035, 2305, 1763, 3312, 1258, 3761, 410, 1968, 2535, 767, 585, 2738, 1160, 176, 1543, 329, 136, 1253, 239, 844, 334, 1718, 346, 869, 981, 850, 380, 2048, 578, 1438, 48, 896, 1408, 42, 36, 525, 426, 391, 372, 212, 204, 40, 12, 24, 56, 98, 0, 65, 49, 6, 0, 0, 368, 356, 4, 674, 710, 14, 18, 689, 29, 5, 48, 157, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 2, 216, 0, 0, 154, 2, 0, 0, 207, 9, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6
n=15 τ=1432: 8026793118, 4604595573, 7236542705, 6704861193, 9137218784, 8100185274, 10768198899, 9540942040, 11789056880, 11151452620, 12657511330, 11807647445, 13914535845, 12704831705, 14126573208, 13499687505, 14858531393, 13864395931, 15300566975, 14256627962, 15519885952, 14759139382, 15567721922, 14796251960, 15902038709, 15008402526, 15725153639, 15116303489, 15803436730, 15010653216, 15807490070, 14990518017, 15643046304, 14993461336, 15434279436, 14786469229, 15420210083, 14667098291, 15024226512, 14518243613, 14888551948, 14260476572, 14659679208, 13992062840, 14347001627, 13796176882, 14013007643, 13451506263, 13788329404, 13169345664, 13372356204, 12883095695, 13062764219, 12531171972, 12721873529, 12211818393, 12354075486, 11897187728, 11977904134, 11494220283, 11701317514, 11171922475, 11247590880, 10844359062, 10923101589, 10486257798, 10564856036, 10112076911, 10191175644, 9801619652, 9821321546, 9425497041, 9507547067, 9088205876, 9104327572, 8777057985, 8778366454, 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n=0 τ=2143: 1
n=1 τ=2143: 1
n=2 τ=2143: 2
n=3 τ=2143: 6
n=4 τ=2143: 23, 1
n=5 τ=2143: 103, 11, 4, 2
n=6 τ=2143: 513, 88, 53, 33, 18, 8, 6, 0, 0, 1
n=7 τ=2143: 2761, 642, 495, 340, 262, 160, 172, 65, 58, 39, 14, 6, 18, 0, 0, 6, 0, 0, 2
n=8 τ=2143: 15767, 4567, 4099, 3007, 2692, 1832, 2171, 1152, 1291, 968, 728, 457, 566, 174, 176, 221, 129, 14, 122, 29, 38, 52, 8, 0, 32, 9, 0, 10, 0, 0, 8, 0, 0, 0, 0, 0, 1
n=9 τ=2143: 94359, 32443, 32345, 25049, 24492, 17732, 21841, 13234, 15867, 12824, 11744, 8852, 10670, 5983, 6058, 5709, 4751, 2372, 3642, 1790, 2080, 1799, 1020, 719, 1508, 621, 456, 549, 490, 200, 498, 152, 170, 198, 66, 114, 189, 34, 8, 52, 70, 0, 58, 4, 0, 30, 0, 0, 22, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 0, 2
n=10 τ=2143: 586590, 232189, 250371, 203452, 211291, 160561, 201524, 133030, 162800, 136840, 134669, 109219, 134085, 90985, 97178, 91917, 87126, 60426, 74360, 50859, 55948, 46889, 37498, 28547, 39584, 23350, 21951, 20022, 19986, 12961, 17766, 9861, 11022, 9968, 6998, 6849, 9424, 4124, 3624, 4367, 4884, 2464, 3844, 1630, 1911, 2721, 1054, 795, 2217, 783, 873, 778, 600, 240, 748, 514, 486, 276, 130, 68, 522, 30, 58, 214, 121, 126, 116, 10, 16, 41, 64, 0, 140, 4, 12, 10, 0, 0, 32, 0, 18, 16, 0, 0, 12, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=11 τ=2143: 3763290, 1679295, 1926145, 1635315, 1776655, 1409304, 1787218, 1263567, 1554692, 1348551, 1376606, 1161259, 1427223, 1058226, 1158896, 1110992, 1120317, 883389, 1044049, 817100, 905437, 795435, 730734, 615053, 747506, 548342, 542930, 488947, 490209, 377724, 439366, 313966, 333400, 293175, 258751, 232438, 276324, 179719, 175730, 167202, 179041, 127377, 149490, 100038, 107522, 110872, 82676, 66882, 95691, 59304, 59918, 56481, 50440, 36032, 49024, 36793, 36822, 31347, 22820, 17667, 34580, 16068, 14327, 18082, 16211, 13114, 13538, 7564, 8832, 7829, 9394, 4766, 11001, 4054, 3146, 5248, 3522, 3338, 4014, 1790, 4034, 2533, 1382, 994, 3394, 1542, 348, 790, 1528, 530, 2034, 880, 420, 370, 192, 288, 1138, 280, 210, 458, 321, 110, 308, 48, 316, 116, 62, 0, 350, 16, 140, 32, 98, 0, 64, 20, 0, 112, 0, 4, 108, 0, 0, 0, 4, 0, 42, 0, 0, 0, 32, 0, 0, 0, 0, 8, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2
n=12 τ=2143: 24792705, 12282794, 14820037, 13100368, 14751474, 12173720, 15536084, 11648367, 14336235, 12800057, 13387779, 11654144, 14241547, 11201344, 12359885, 11932124, 12394292, 10421988, 12123002, 10149563, 11324533, 10309986, 10083567, 8974390, 10507953, 8591496, 8780035, 8164269, 8351506, 7112877, 7887708, 6438863, 6759826, 6107488, 5824179, 5295035, 5863379, 4548974, 4555869, 4224208, 4403498, 3592771, 3910577, 3110922, 3258484, 3092791, 2787786, 2410612, 2811154, 2168564, 2199571, 2021581, 1945952, 1607250, 1814339, 1502952, 1522364, 1365158, 1200413, 1040734, 1331187, 939406, 909802, 907459, 865044, 745976, 779500, 606238, 618096, 558675, 571640, 440212, 575134, 379568, 362164, 388686, 341987, 292900, 316564, 229827, 285832, 239465, 197727, 159732, 233001, 165704, 130835, 133788, 142871, 99822, 153646, 102496, 93438, 80810, 67145, 65994, 99257, 55690, 56370, 57418, 57685, 40922, 46612, 30526, 40083, 40964, 27212, 17452, 37564, 19456, 28848, 19230, 24867, 12443, 15974, 13008, 10970, 14196, 9356, 8768, 20904, 9472, 5172, 5463, 5677, 3734, 10210, 3618, 5548, 4576, 4943, 2188, 5626, 2756, 1636, 3644, 3994, 990, 2095, 416, 2364, 846, 946, 1808, 4097, 642, 492, 583, 338, 272, 1102, 346, 448, 924, 600, 274, 1162, 210, 60, 16, 564, 74, 536, 6, 16, 168, 102, 0, 338, 196, 256, 212, 0, 4, 4, 20, 37, 0, 0, 0, 214, 4, 140, 0, 0, 16, 4, 0, 0, 8, 44, 0, 0, 0, 0, 28, 25, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=13 τ=2143: 167078577, 90834992, 114394941, 104972265, 121764828, 104262795, 133652876, 105496986, 129693931, 118946957, 126723200, 113467761, 137699705, 113632727, 125780487, 122337155, 129118602, 113157190, 129869299, 113274970, 126325283, 117733282, 118874596, 109224114, 125606491, 108970390, 113372324, 107996773, 112172574, 100885961, 110509320, 96792766, 102067035, 95233141, 94495424, 88353900, 95767667, 81775671, 83213815, 78514906, 81258206, 71558952, 75811350, 65713979, 68106338, 64379037, 61822078, 55934420, 60847446, 52022571, 52888086, 49192295, 48829213, 43225137, 46060801, 40596739, 41441777, 38079932, 36202422, 32775765, 36630485, 30335186, 30148924, 28839858, 28300261, 25500524, 26247773, 22605843, 22904533, 21156994, 21063150, 18404291, 20431695, 16636013, 16342327, 16057928, 15306670, 13721362, 14230940, 12054972, 12909998, 11682704, 10757965, 9611568, 10907739, 9115944, 8561779, 8183310, 8114529, 6909612, 7887664, 6481209, 6364274, 5795621, 5356811, 4999261, 5707677, 4412786, 4397530, 4168340, 4176703, 3516050, 3665950, 3018298, 3204119, 3122455, 2701056, 2245486, 2766928, 2131810, 2305103, 2011216, 2093867, 1638274, 1773036, 1533844, 1494110, 1429139, 1258004, 1165320, 1537017, 1094822, 988757, 912964, 895049, 785675, 1019464, 710002, 733022, 654756, 664766, 516710, 668567, 521779, 469760, 508733, 491949, 338108, 400034, 292462, 420752, 305670, 263016, 271382, 380835, 239472, 208678, 218874, 188568, 145894, 228648, 148388, 163356, 150048, 161057, 115922, 169237, 96570, 84610, 75830, 122237, 86392, 112313, 63586, 51920, 77762, 52118, 39659, 91598, 50240, 57916, 56760, 36560, 25304, 37778, 24316, 47842, 22320, 19270, 20214, 55108, 20372, 24534, 16988, 19604, 12914, 14454, 17076, 10806, 13816, 14468, 8848, 21704, 6022, 4950, 11442, 9267, 5536, 14190, 4466, 7435, 4052, 3280, 1952, 9562, 1906, 2210, 4358, 6724, 3534, 6618, 2144, 1550, 1298, 840, 882, 5394, 966, 650, 532, 2068, 3302, 1328, 384, 1608, 1735, 452, 376, 1444, 72, 1090, 320, 270, 98, 1648, 126, 430, 32, 940, 56, 1204, 146, 92, 138, 0, 74, 60, 576, 0, 22, 248, 28, 560, 0, 0, 264, 34, 0, 4, 0, 250, 4, 0, 0, 16, 0, 204, 0, 0, 0, 136, 0, 0, 28, 0, 4, 0, 0, 0, 0, 62, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2
n=14 τ=2143: 1148208090, 678779256, 887176357, 842942714, 1002985890, 888963335, 1143730747, 944907187, 1160402488, 1091058828, 1180014666, 1084149639, 1307083656, 1123661807, 1246726341, 1224227515, 1306432620, 1182947285, 1343190842, 1208673078, 1342560771, 1273626413, 1308749101, 1228356948, 1392670578, 1254592591, 1316903141, 1274336472, 1334595398, 1239732688, 1349821948, 1231571369, 1303643090, 1244304411, 1261563447, 1205403720, 1297928933, 1170005572, 1204534741, 1159434026, 1203135582, 1109734849, 1168544491, 1066620276, 1106362554, 1061994607, 1051675043, 984854087, 1045417211, 947360648, 966469378, 917167401, 922847369, 852171357, 889401474, 817360482, 835422585, 785935075, 771992111, 720767899, 767802001, 685772455, 689069813, 660224265, 658623371, 612796832, 626710322, 569746299, 577759712, 544565940, 544023190, 500301973, 527445907, 468940206, 466979401, 451310313, 443512569, 411023189, 419639408, 379753640, 390952213, 365585311, 352805989, 327503786, 345147921, 310763497, 303875479, 290065521, 287492192, 262382162, 275550028, 246949659, 245936473, 230891532, 222519389, 209421530, 220198728, 193394894, 192126265, 183089867, 181920876, 164906124, 167612056, 150408294, 152750704, 146749835, 138187512, 125556941, 134055874, 117513119, 118879811, 110860986, 110634338, 98381014, 100951183, 91429890, 90684675, 85731647, 81263500, 75720817, 82613143, 70461912, 68123863, 64211288, 63032361, 57876274, 61650598, 52721487, 53127567, 49416083, 48463709, 43134727, 46547952, 40799325, 39414953, 38586582, 37690116, 32481039, 33925199, 29472220, 32096894, 28459130, 26798565, 25154264, 27831855, 23399669, 22444009, 21653064, 20616358, 18224255, 20403371, 17065836, 17454861, 16113895, 16117691, 14217922, 15669124, 12816467, 12384498, 11520313, 12576802, 10886417, 11585886, 9448739, 9198517, 9375712, 8391210, 7419400, 9305341, 7275443, 7526289, 7079776, 6472110, 5469970, 6008839, 5339495, 5874761, 4810314, 4545548, 4091882, 5473714, 3949848, 4160910, 3600512, 3662839, 3167029, 3313940, 2979163, 2821747, 2863208, 2768581, 2209484, 2927003, 2066718, 1954049, 2096822, 2081654, 1640203, 2105772, 1503592, 1809975, 1507976, 1335893, 1169096, 1496256, 1083572, 1027850, 1053231, 1207930, 991289, 1343507, 913396, 811962, 691032, 646409, 572817, 959231, 643105, 562458, 500758, 668159, 567816, 543560, 399202, 540366, 525343, 374610, 302898, 441404, 305268, 344778, 343796, 299137, 217614, 363376, 212130, 224646, 162776, 246786, 161114, 381291, 187143, 191039, 171208, 124880, 110784, 121944, 142096, 113154, 92138, 105786, 81676, 203688, 119647, 65890, 108105, 101951, 52112, 69867, 49456, 86608, 60631, 44633, 34522, 96370, 40476, 51308, 28212, 30946, 27890, 73900, 27574, 46924, 48150, 24242, 22275, 43006, 17983, 12956, 14542, 31562, 14458, 16434, 9254, 10316, 19326, 24650, 14032, 37192, 15104, 12547, 5474, 6348, 4960, 13854, 6688, 3350, 5820, 3744, 10900, 16066, 5754, 1732, 2460, 8468, 2534, 13682, 1376, 6924, 1572, 3840, 832, 9089, 846, 728, 3984, 1162, 742, 640, 524, 3264, 974, 3558, 4402, 3755, 3186, 320, 404, 130, 416, 2132, 508, 32, 172, 260, 128, 2382, 174, 828, 32, 1510, 86, 2156, 112, 304, 784, 60, 10, 76, 8, 968, 238, 0, 0, 44, 124, 0, 232, 12, 0, 960, 414, 0, 60, 352, 4, 4, 0, 0, 20, 45, 0, 0, 0, 0, 162, 4, 0, 168, 0, 240, 0, 0, 0, 20, 4, 0, 0, 0, 0, 58, 0, 10, 0, 0, 0, 0, 0, 0, 40, 36, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
n=15 τ=2143: 8026793118, 5121534664, 6917420887, 6790223256, 8262124332, 7563338812, 9764563425, 8402891888, 10314996036, 9924969338, 10873647294, 10229561182, 12264708403, 10922692645, 12147286127, 12055732111, 12976374057, 12077640070, 13613227937, 12581516191, 13923510425, 13422153853, 13952339279, 13324876649, 14928326496, 13828224883, 14579271109, 14271887310, 15006120649, 14248248856, 15428805818, 14460243130, 15322962974, 14856635608, 15242885049, 14784199478, 15852349054, 14774516362, 15314424612, 14957532432, 15566672306, 14774416330, 15538373904, 14641446519, 15227893155, 14837414824, 14956527766, 14346878272, 15110520554, 14195456386, 14560169457, 14081903126, 14309904570, 13604187702, 14119983394, 13370292580, 13703984780, 13164785369, 13157519640, 12575369642, 13153755836, 12260657350, 12399167878, 12013681598, 12091952143, 11521654982, 11761808275, 11059134961, 11229873883, 10776736158, 10828887274, 10260441746, 10617883177, 9878917457, 9919305015, 9627327329, 9598866482, 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n=0 τ=2413: 1
n=1 τ=2413: 1
n=2 τ=2413: 2
n=3 τ=2413: 6
n=4 τ=2413: 23, 1
n=5 τ=2413: 103, 9, 8
n=6 τ=2413: 512, 62, 82, 34, 28, 2
n=7 τ=2413: 2740, 402, 612, 384, 466, 94, 232, 42, 60, 8
n=8 τ=2413: 15485, 2593, 4187, 3036, 4356, 1746, 3132, 1064, 1918, 909, 654, 333, 612, 144, 104, 22, 24, 1
n=9 τ=2413: 91245, 16921, 28065, 21638, 33274, 17598, 31180, 12942, 24000, 14290, 15434, 7770, 15692, 5965, 6896, 3947, 5660, 2226, 3674, 1314, 1512, 516, 508, 204, 332, 37, 40
n=10 τ=2413: 555662, 112196, 188514, 149946, 237128, 140954, 257686, 132874, 222776, 149894, 184050, 106012, 211448, 99394, 118316, 95636, 121084, 66468, 95314, 51880, 68562, 43284, 43446, 27110, 44888, 19814, 20422, 15206, 14496, 7502, 8876, 4222, 5374, 2376, 2390, 808, 2008, 274, 312, 76, 112, 10
n=11 τ=2413: 3475090, 755920, 1278590, 1036826, 1658064, 1041598, 1933438, 1143020, 1880176, 1322744, 1709002, 1090862, 2112490, 1138532, 1462450, 1234316, 1556162, 989470, 1426682, 890202, 1244686, 861630, 962280, 676572, 1037130, 595502, 688432, 542620, 600072, 394014, 529312, 314892, 413768, 262686, 283214, 182652, 260852, 136382, 154338, 105060, 120560, 68362, 85002, 44736, 54548, 34494, 32444, 17900, 31096, 10350, 11190, 6468, 6804, 2534, 5160, 828, 1588, 364, 540, 64, 40
n=12 τ=2413: 22214707, 5168174, 8774123, 7217371, 11590910, 7524894, 13972428, 8876290, 14711650, 11067163, 14112197, 9744700, 18241519, 10826129, 14435556, 12514060, 16152546, 11091508, 15834279, 10856386, 15099336, 11625483, 13079688, 9987272, 14701180, 9855365, 11458209, 9643415, 11098483, 8189568, 10584385, 7470116, 9340916, 7102600, 7705822, 5890038, 7802813, 5281603, 5828910, 4712948, 5471324, 3897606, 4513220, 3246976, 3701948, 2928199, 2936457, 2196391, 2790525, 1820372, 1920060, 1482963, 1598084, 1119562, 1286283, 859165, 973238, 680704, 693003, 483476, 620524, 358460, 375566, 277033, 309988, 176356, 207654, 118112, 140368, 81096, 86856, 49720, 82823, 28002, 30207, 19032, 22169, 8038, 11138, 3690, 4575, 3054, 1812, 270, 504, 144, 97, 0, 16
n=13 τ=2413: 144640291, 35796046, 60914835, 50711831, 81546236, 54273596, 100080942, 66176640, 109980386, 87359218, 112307782, 80396790, 146246520, 93176500, 125976763, 111599722, 146797625, 106209814, 152436626, 110040280, 151144676, 124186708, 141947298, 113547306, 164581728, 119615346, 140096445, 122057532, 144730224, 113106997, 145660725, 110925571, 137223231, 112139323, 124621195, 101876302, 131021212, 98555708, 111010534, 95132614, 110704616, 86357076, 102580168, 80160728, 92074167, 77911260, 82517437, 66877918, 82300008, 61959133, 68213128, 56955138, 62652036, 49209886, 56827419, 43903302, 49281143, 39658084, 42110813, 33346198, 40049264, 29308639, 31515961, 25966584, 28343278, 21409970, 24116857, 18012523, 19867684, 15584434, 16397512, 12484304, 15016200, 10378472, 11047604, 8801078, 9307096, 6821296, 7706000, 5470020, 6205184, 4591902, 4640526, 3355096, 4028597, 2656786, 2792870, 2101704, 2294694, 1504770, 1866703, 1109349, 1274466, 858048, 884416, 557460, 814425, 396478, 435062, 296114, 321038, 169418, 224241, 107690, 138661, 74048, 72816, 39350, 69384, 22364, 24416, 13308, 10060, 4576, 7504, 1780, 1160, 368, 352, 32, 32
n=14 τ=2413: 956560748, 250765372, 427488844, 359789064, 578523964, 393495726, 718634758, 488493232, 807942678, 663490458, 864662348, 649768814, 1128270308, 759636654, 1027364652, 929756040, 1229961842, 930323416, 1332304400, 1004985242, 1374104234, 1164653950, 1348371208, 1123089656, 1595036164, 1225730418, 1445028582, 1301566616, 1550522206, 1268851366, 1615046840, 1299925794, 1600398914, 1363259078, 1533912092, 1321050582, 1657695776, 1331342898, 1508047468, 1346020554, 1556194920, 1294704478, 1527578574, 1270117398, 1456342312, 1287358650, 1387226798, 1194983814, 1433711876, 1170677446, 1296409664, 1144018098, 1258715204, 1067614364, 1210278086, 1019822884, 1138311652, 984030292, 1048298938, 903863684, 1043324810, 853562436, 919161554, 813652142, 876193282, 740504230, 811576908, 682626758, 740159468, 639394816, 670341024, 573272784, 645432712, 524801180, 554217598, 486936302, 510315832, 429814584, 462631614, 385566014, 417428990, 353410598, 361089204, 306215464, 336366624, 272913758, 283186504, 244157408, 255311904, 209616780, 227019962, 182949840, 193767570, 162122074, 164320096, 136733596, 151441022, 117798996, 121609704, 102713072, 106537454, 84930248, 90706302, 71530012, 76289872, 62213514, 62145948, 50047782, 55974600, 41778450, 43334068, 35331544, 36647062, 27936304, 30073956, 22758902, 24215874, 18954324, 18856282, 14349012, 17325532, 11406458, 11807802, 9227942, 9590128, 6801442, 7657142, 5155792, 5913918, 4093444, 4068824, 2826322, 3544004, 2084880, 2202742, 1709136, 1707902, 1059904, 1275100, 710646, 829738, 574194, 515224, 305064, 529992, 209546, 199924, 157360, 122146, 66194, 85744, 30992, 31370, 24312, 13716, 7362, 10544, 2432, 2178, 536, 592, 40, 96, 32
n=15 τ=2413: 6411521056, 1774228404, 3029373540, 2576190656, 4139689856, 2873105974, 5192640920, 3612640498, 5923865658, 4964662486, 6519814460, 5107169062, 8640824196, 6010185544, 8099807766, 7452391364, 9858114674, 7721966568, 10993984674, 8582171448, 11713254398, 10140468080, 11921828100, 10168233512, 14211250612, 11350148858, 13469381666, 12422078470, 14820373820, 12535471334, 15879375036, 13245728708, 16256643640, 14243341194, 16165090796, 14378707952, 17852557022, 14931871428, 17011894178, 15557166830, 18007243368, 15547898638, 18308905838, 15816769874, 18128297664, 16475116732, 17983097828, 16034431518, 18984440750, 16252540646, 18086959500, 16468366982, 18202483946, 16067796776, 18189813468, 15997998152, 17861701096, 16047498764, 17268607718, 15480906632, 17663831792, 15269584600, 16567180624, 15159964124, 16425179110, 14556517056, 15972292544, 14127200858, 15332449410, 13832986004, 14706873156, 13148512870, 14623872636, 12694329174, 13525024838, 12342806530, 13086550078, 11619811572, 12525663612, 11064513604, 11917447276, 10659613460, 11123415794, 9929602792, 10800949562, 9424823232, 9890704420, 8942300448, 9411359140, 8283652964, 8890163910, 7766075162, 8210483734, 7319143886, 7571444420, 6721860590, 7242451778, 6249121672, 6504504168, 5829226572, 6084571168, 5305932630, 5609447278, 4874667974, 5123270486, 4527419278, 4639627096, 4070705390, 4346870690, 3717426912, 3852090410, 3406356822, 3536342376, 3043648690, 3194538116, 2751564878, 2862125546, 2500535940, 2547955966, 2205849024, 2365450186, 1978224770, 2032662072, 1773700932, 1828584170, 1557414626, 1635954492, 1377047842, 1436379004, 1228685944, 1252441224, 1061866430, 1130535108, 932739152, 957579606, 827184258, 849193622, 704582924, 739553776, 609622322, 637587990, 533634976, 541856982, 448918060, 488226652, 386697588, 395502314, 332003414, 342136220, 275721860, 294624642, 232679808, 244472392, 198715560, 201213336, 161784340, 175565524, 134247588, 138289648, 112484964, 119449926, 89936826, 97410256, 72918334, 77708664, 61083614, 61743958, 46904650, 53485450, 37479848, 39276354, 30725958, 32016776, 22988120, 25677626, 17859540, 19519642, 14211266, 14444646, 10168872, 13363326, 7847520, 8043232, 6041052, 6343948, 4000442, 4822420, 2835506, 3215132, 2252684, 2107392, 1329338, 2073682, 892368, 934084, 657748, 599636, 330696, 487332, 197644, 206480, 157140, 118544, 52888, 70864, 28016, 25980, 9388, 13160, 4032, 1992, 400, 864, 256