A355763 E.g.f. satisfies A(x)^2 * log(A(x)) = exp(x*A(x)) - 1.

1, 1, 0, 5, -13, 207, -1791, 28849, -438600, 8619291, -181134313, 4381744589, -115439041983, 3356162869607, -105668550658100, 3600058076291465, -131618721053773713, 5146452228945999699, -214171122214841864975, 9454288479242533668837

Offset

0,4

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A030019, A349588.

Cf. A349654, A355762.

Sequence in context: A124924 A209271 A352083 * A124878 A085554 A226664

Adjacent sequences: A355760 A355761 A355762 * A355764 A355765 A355766

Keyword

sign

Author

Seiichi Manyama, Jul 16 2022

Status

approved