A357086 E.g.f. satisfies A(x) * log(A(x)) = (exp(x*A(x)) - 1)^2.

1, 0, 2, 6, 50, 510, 5882, 88326, 1502258, 29368590, 650366762, 15974149686, 433095937826, 12829712583870, 412295632858202, 14292175302568806, 531485147656990994, 21107739762958541550, 891673745283286886282, 39923664347178352362006

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..floor(n/2)} (2*k)! * (n-k+1)^(k-1) * Stirling2(n,2*k)/k!.

Prog

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

Crossrefs

Cf. A349588, A357087.

Cf. A357084, A357088.

Sequence in context: A079835 A357009 A177454 * A052332 A238596 A134047

Adjacent sequences: A357083 A357084 A357085 * A357087 A357088 A357089

Keyword

nonn

Author

Seiichi Manyama, Sep 11 2022

Status

approved