A357091 E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(log(1 - x * A(x))^2 * A(x)).

1, 0, 0, 6, 36, 210, 4590, 85344, 1353912, 30525384, 836587440, 22585438656, 676820305656, 23377203675072, 857981143380816, 33416782099297344, 1417453025671696320, 64371985604089220160, 3086958605328618687360, 157142856384519974847360

Offset

0,4

Links

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

Formula

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

a(n) = Sum_{k=0..floor(n/3)} (3*k)! * (n+k+1)^(k-1) * |Stirling1(n,3*k)|/k!.

Prog

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

Crossrefs

Cf. A349556, A357090.

Cf. A357029.

Sequence in context: A357093 A357029 A358859 * A268454 A171280 A250348

Adjacent sequences: A357088 A357089 A357090 * A357092 A357093 A357094

Keyword

nonn

Author

Seiichi Manyama, Sep 11 2022

Status

approved