A373869 a(n) = Sum_{k=1..n} k! * k^(n-3) * Stirling1(n,k).

0, 1, 0, 2, 26, 674, 28894, 1848216, 165229560, 19698788448, 3022496261616, 580460752264656, 136441193196585408, 38540172064949405616, 12883204327833557091984, 5030833813902039858261504, 2269484487197629285690675584, 1171368942033975021150888242304

Offset: 0

Author

Seiichi Manyama, Jun 20 2024

Keywords

• nonn

Crossrefs

Cf. A373870, A373871, A373872.

Cf. A320083, A373857, A373874.

Programs

PARI

a(n) = sum(k=1, n, k!*k^(n-3)*stirling(n, k, 1));

Formula

E.g.f.: Sum_{k>=1} log(1 + k*x)^k / k^3.