A373522 - OEIS

A373522

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

1, 1, 1, 1, 9, 41, 121, -279, -1679, 1009, 259281, 1173041, 669241, -267141159, -1295686391, 10821721, 650092657761, 3480768830561, 17723446561, -2911516748764191, -17068971040559639, 427036022281, 21673592659354854681, 137752098937383025481

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OFFSET

0,5

LINKS

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

FORMULA

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

a(n) == 1 mod 8.

PROG

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

CROSSREFS

Cf. A190875, A373523.

Cf. A373517.

Sequence in context: A273359 A251422 A018836 * A245932 A373517 A362293

Adjacent sequences: A373519 A373520 A373521 * A373523 A373524 A373525

KEYWORD

sign

AUTHOR

Seiichi Manyama, Jun 08 2024

STATUS

approved