A354244 Expansion of e.g.f. Sum_{k>=0} (2*k)! * (-log(1-x))^k / k!.

1, 2, 26, 796, 44916, 4058448, 537029616, 97903213056, 23525415709632, 7205450503530816, 2740066802232081984, 1266655419369548369280, 699532666466320784246400, 454880976674201215672273920, 344008843780994236543882521600

Offset: 0

Author

Seiichi Manyama, May 20 2022

Keywords

• nonn

Crossrefs

Cf. A007840, A354251.

Cf. A316747, A354241.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (2*k)!*(-log(1-x))^k/k!)))

PARI

a(n) = sum(k=0, n, (2*k)!*abs(stirling(n, k, 1)));

Formula

a(n) = Sum_{k=0..n} (2*k)! * |Stirling1(n,k)|.