A357085 E.g.f. satisfies log(A(x)) = (exp(x*A(x)) - 1)^3 * A(x).

1, 0, 0, 6, 36, 150, 3780, 77406, 1059156, 21669990, 640319940, 16622025486, 450085011156, 15416323450710, 561938117029380, 20587443165165246, 835816881563118036, 37282225483118856390, 1722621978491064495300, 83817942806509377794286

Offset

0,4

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = Sum_{k=0..floor(n/3)} (3*k)! * (n+k+1)^(k-1) * Stirling2(n,3*k)/k!.

Prog

(PARI) a(n) = sum(k=0, n\3, (3*k)!*(n+k+1)^(k-1)*stirling(n, 3*k, 2)/k!);

Crossrefs

Cf. A349557, A357084.

Cf. A357025.

Sequence in context: A357010 A357087 A357025 * A224149 A055404 A223946

Adjacent sequences: A357082 A357083 A357084 * A357086 A357087 A357088

Keyword

nonn

Author

Seiichi Manyama, Sep 11 2022

Status

approved