A373519 Expansion of e.g.f. exp(x/(1 - x^4)^(1/4)).

1, 1, 1, 1, 1, 31, 181, 631, 1681, 60481, 687961, 4379761, 19982161, 802740511, 13848694861, 131732390791, 873339798241, 38385869907841, 894783905472241, 11506538747852641, 101612306808695521, 4824806928717603871, 142148609212891008421

Offset

0,6

Links

Table of n, a(n) for n=0..22.

Formula

a(n) = n! * Sum_{k=0..floor(n/4)} binomial(n/4-1,k)/(n-4*k)!.

a(n) == 1 mod 30.

Prog

(PARI) a(n) = n!*sum(k=0, n\4, binomial(n/4-1, k)/(n-4*k)!);

Crossrefs

Cf. A293507, A373520, A373521.

Cf. A373524.

Sequence in context: A139496 A145838 A373524 * A243522 A227523 A055788

Adjacent sequences: A373516 A373517 A373518 * A373520 A373521 A373522

Keyword

nonn

Author

Seiichi Manyama, Jun 08 2024

Status

approved