A373874 a(n) = Sum_{k=1..n} k! * k^(n-2) * Stirling1(n,k).

0, 1, 1, 8, 142, 4534, 229658, 16951416, 1718394312, 229119947280, 38881745126112, 8183542269446928, 2092128552508587360, 638590833851037194256, 229398149222697428624688, 95801846241560025353728512, 46025711723325944648182502016

Offset: 0

Author

Seiichi Manyama, Jun 20 2024

Keywords

• nonn

Crossrefs

Cf. A320083, A373857, A373869.

Cf. A220181, A373873, A373875.

Programs

PARI

a(n) = sum(k=1, n, k!*k^(n-2)*stirling(n, k, 1));

Formula

E.g.f.: Sum_{k>=1} log(1 + k*x)^k / k^2.