A367654 G.f. A(x) satisfies A(x) = 1 / (1 - x * (1 + x + x^2 + x^3 + x^4) * A(x^5)).

1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1025, 2051, 4104, 8212, 16432, 32882, 65798, 131664, 263464, 527200, 1054948, 2110989, 4224165, 8452706, 16914168, 33845864, 67726796, 135523764, 271187944, 542656864, 1085875984, 2172877052, 4348005437, 8700515871

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Formula

a(0) = 1; a(n) = Sum_{k=0..n-1} a(floor(k/5)) * a(n-1-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, v[j\5+1]*v[i-j])); v;

Crossrefs

Cf. A127680, A367652, A367653.

Cf. A367661.

Sequence in context: A138815 A275077 A275065 * A180212 A274862 A275076

Adjacent sequences: A367651 A367652 A367653 * A367655 A367656 A367657

Keyword

nonn

Author

Seiichi Manyama, Nov 26 2023

Status

approved