A373540 Expansion of e.g.f. exp(x/(1 + x^4)^(1/4)).

1, 1, 1, 1, 1, -29, -179, -629, -1679, 52921, 672841, 4352041, 19934641, -656794709, -13394641259, -130483743389, -870226287839, 29354743432561, 855880592510161, 11361346027482961, 101129588155349281, -3446498927212733069, -134465010284782027619

Offset

0,6

Links

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

Formula

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

a(n) == 1 mod 30.

Prog

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

Crossrefs

Cf. A012019, A373539.

Cf. A373519.

Sequence in context: A142407 A183714 A042640 * A140573 A165613 A302450

Adjacent sequences: A373537 A373538 A373539 * A373541 A373542 A373543

Keyword

sign

Author

Seiichi Manyama, Jun 09 2024

Status

approved