A373526 Expansion of e.g.f. exp(x * (1 + x^4)^(3/4)).

1, 1, 1, 1, 1, 91, 541, 1891, 5041, -22679, 703081, 9397081, 59946481, 510926131, -1770628859, 28435376971, 879567081121, 1118967005521, 133425791669521, -153681150137039, 1206979480409761, 974131304609110411, -2730300052811686739, 68047061689139820211

Offset

0,6

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = n! * Sum_{k=0..floor(n/4)} binomial(3*n/4-3*k,k)/(n-4*k)!.

a(n) == 1 mod 90.

Prog

(PARI) a(n) = n!*sum(k=0, n\4, binomial(3*n/4-3*k, k)/(n-4*k)!);

Crossrefs

Cf. A190877, A373524, A373525.

Cf. A373521.

Sequence in context: A063137 A234131 A234124 * A373521 A180942 A211447

Adjacent sequences: A373523 A373524 A373525 * A373527 A373528 A373529

Keyword

sign

Author

Seiichi Manyama, Jun 08 2024

Status

approved