A373524 Expansion of e.g.f. exp(x * (1 + x^4)^(1/4)).

1, 1, 1, 1, 1, 31, 181, 631, 1681, -30239, -219239, -609839, 23761, 348686911, 2769787021, 8683865191, 519049441, -13487418759359, -125598814684559, -446790263130719, 15237796321, 1447967425273506271, 15403882866996490021, 61625443167286653271, 1295472977069041

Offset

0,6

Links

Table of n, a(n) for n=0..24.

Formula

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

a(n) == 1 mod 30.

Prog

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

Crossrefs

Cf. A190877, A373525, A373526.

Cf. A373519.

Sequence in context: A325080 A139496 A145838 * A373519 A243522 A227523

Adjacent sequences: A373521 A373522 A373523 * A373525 A373526 A373527

Keyword

sign

Author

Seiichi Manyama, Jun 08 2024

Status

approved