A373292 Expansion of 1/(1 - x/(1 - 8*x^3)^(1/4)).

1, 1, 1, 1, 3, 5, 7, 19, 35, 55, 139, 267, 447, 1077, 2115, 3689, 8595, 17101, 30703, 69797, 140027, 256873, 573167, 1156221, 2156555, 4742759, 9603287, 18149083, 39457727, 80104735, 153007747, 329580959, 670338231, 1291649283, 2761199459, 5623490391

Offset

0,5

Links

Table of n, a(n) for n=0..35.

Formula

a(n) = Sum_{k=0..floor(n/3)} 8^k * binomial((n+k)/4-1,k).

Prog

(PARI) a(n) = sum(k=0, n\3, 8^k*binomial((n+k)/4-1, k));

Crossrefs

Cf. A373509.

Sequence in context: A106919 A005850 A052334 * A322302 A154526 A126144

Adjacent sequences: A373289 A373290 A373291 * A373293 A373294 A373295

Keyword

nonn

Author

Seiichi Manyama, Jun 07 2024

Status

approved