A362238 Expansion of e.g.f.: 1/(1 - x*(1+x)^x).

1, 1, 2, 12, 60, 460, 3900, 39438, 456288, 5896224, 85230000, 1349017560, 23353941600, 437432418696, 8828284404576, 190867622500800, 4401749312069760, 107859517575659520, 2798352667710645120, 76636669899079699776, 2209235394261812751360

Offset: 0

Author

Seiichi Manyama, Apr 12 2023

Keywords

• nonn

Crossrefs

Cf. A202152, A362237.

Cf. A002478, A099234, A099235.

Programs

PARI

my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*(1+x)^x)))

Formula

a(n) = n! * Sum_{i=0..n} Sum_{j=0..n-i} i^j * Stirling1(n-i-j,j)/(n-i-j)!.