A357087 E.g.f. satisfies A(x) * log(A(x)) = (exp(x*A(x)) - 1)^3.

1, 0, 0, 6, 36, 150, 2340, 47166, 676116, 10602150, 248197860, 6304530606, 154511054676, 4227889233750, 134462460901860, 4519745455581726, 157756124072317716, 5960350758700381830, 243292987180534250340, 10433760831781705395726, 469420864688765414084436

Offset

0,4

Links

Table of n, a(n) for n=0..20.

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. A349588, A357086.

Cf. A357085, A357089.

Sequence in context: A353664 A353774 A357010 * A357025 A357085 A224149

Adjacent sequences: A357084 A357085 A357086 * A357088 A357089 A357090

Keyword

nonn

Author

Seiichi Manyama, Sep 11 2022

Status

approved