A357025 E.g.f. satisfies log(A(x)) = (exp(x * A(x)) - 1)^3.

1, 0, 0, 6, 36, 150, 3060, 62286, 867636, 15591750, 419764500, 10834588446, 277719263316, 8580282719190, 297021183388020, 10459810717672686, 393932179466738676, 16351788886638987750, 717798906181149294420, 32905220431196072057406

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+1)^(k-1) * Stirling2(n,3*k)/k!.

Prog

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

Crossrefs

Cf. A030019, A357024.

Cf. A353664, A357010, A357032.

Sequence in context: A353774 A357010 A357087 * A357085 A224149 A055404

Adjacent sequences: A357022 A357023 A357024 * A357026 A357027 A357028

Keyword

nonn

Author

Seiichi Manyama, Sep 09 2022

Status

approved