A356972 E.g.f. satisfies log(A(x)) = (exp(x * A(x)^2) - 1) * A(x).

1, 1, 8, 128, 3139, 104382, 4393590, 224045271, 13428576766, 925335827928, 72082558060889, 6264277731652096, 600873473776204782, 63059026039778220285, 7187299097301622432156, 884141943373486896560252, 116756337165196381259759707, 16474480747756013055963484442

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..329

Formula

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

Prog

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

Crossrefs

Cf. A052880, A349557, A356973.

Cf. A216135, A349601, A356914.

Sequence in context: A051189 A371299 A113135 * A219264 A382293 A349263

Adjacent sequences: A356969 A356970 A356971 * A356973 A356974 A356975

Keyword

nonn

Author

Seiichi Manyama, Sep 07 2022

Status

approved