A362835 Expansion of e.g.f. 1/(1 + LambertW(x * log(1-x))).
1, 0, 2, 3, 56, 270, 4704, 43260, 814736, 11356632, 240848640, 4492204200, 108396245088, 2513538490320, 68878522931568, 1896787592514360, 58622475066067200, 1860520458522196800, 64297710768900261888, 2303738717704104464640
Offset: 0
Keywords
Programs
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PARI
my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(x*log(1-x)))))
Formula
a(n) = (-1)^n * n! * Sum_{k=0..floor(n/2)} k^k * Stirling1(n-k,k)/(n-k)!.