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

0,3

Links

Table of n, a(n) for n=0..20.

Formula

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

Prog

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

Crossrefs

Cf. A202152, A362237.

Cf. A002478, A099234, A099235.

Sequence in context: A364283 A360590 A362244 * A372986 A190425 A145630

Adjacent sequences: A362235 A362236 A362237 * A362239 A362240 A362241

Keyword

nonn

Author

Seiichi Manyama, Apr 12 2023

Status

approved