A354250 Expansion of e.g.f. Sum_{k>=0} (3*k)! * log(1+x)^k / k!.

1, 6, 714, 360732, 476832204, 1302897016944, 6382799223892560, 50956720815425427360, 619019914356960664044960, 10866561174598537960652828160, 264763399994627082733034386813440, 8668743073576807048450006051943930880

Offset: 0

Author

Seiichi Manyama, May 21 2022

Keywords

• nonn

Crossrefs

Cf. A006252, A354243.

Cf. A316748, A354229, A354251.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (3*k)!*log(1+x)^k/k!)))

PARI

a(n) = sum(k=0, n, (3*k)!*stirling(n, k, 1));

Formula

a(n) = Sum_{k=0..n} (3*k)! * Stirling1(n,k).