A362237 Expansion of e.g.f.: 1/(1 - x/(1-x)^x).

1, 1, 2, 12, 84, 700, 7140, 84798, 1148448, 17508384, 296577360, 5525645400, 112311096480, 2473005981576, 58642262698656, 1489908226161600, 40377279733096320, 1162635170476462080, 35446505436393782400, 1140734265246337985856, 38643098112640927503360

Offset

0,3

Links

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

Formula

a(n) = n! * Sum_{i=0..n} (-1)^(n-i) * ( 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. A347726, A362238.

Sequence in context: A235351 A372086 A362245 * A052887 A052867 A226238

Adjacent sequences: A362234 A362235 A362236 * A362238 A362239 A362240

Keyword

nonn

Author

Seiichi Manyama, Apr 12 2023

Status

approved