A353994 Expansion of e.g.f. 1/(1 + log(1 - x) * (exp(x) - 1)).

1, 0, 2, 6, 42, 305, 2815, 29792, 362432, 4952481, 75239143, 1257202584, 22918653428, 452620972245, 9626556838015, 219367419292972, 5332164894151648, 137709755844024929, 3765736630207259055, 108696751776637007080, 3302628833563666988740

Offset: 0

Author

Seiichi Manyama, May 13 2022

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..421

Crossrefs

Cf. A052830, A052848, A052863, A305407, A353995.

Programs

PARI

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

Formula

a(0) = 1; a(n) = Sum_{k=1..n} A052863(k) * binomial(n,k) * a(n-k).