lucas-numbers/lucas-11.p6
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constant $lucas := 2, 1, * + * ... *;
constant $fibonacci := 1, 0, * + * ... *;
constant $φ := (1 + sqrt 5) / 2;
multi pow-φ(UInt $n) {
$fibonacci[$n + 1] * $φ + $fibonacci[$n];
}
printf "%2s %4s %10s %4s %9s\n", 'n', '𝓛', 'φⁿ', 'R()', 'φ()';
for 0..10 -> $n {
printf "%2d %4d %10f %4d %4dφ + %d\n",
$n,
$lucas[$n],
my $φⁿ = pow-φ($n),
round($φⁿ),
$fibonacci[$n + 1],
$fibonacci[$n],
}
Raku
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