A377789 Expansion of e.g.f. (1/x) * Series_Reversion( x/(1 - 2*log(1-x)) ).

1, 2, 10, 88, 1148, 20088, 442896, 11802096, 369132256, 13261156416, 538227938880, 24359100451200, 1216403663398656, 66440221207025664, 3940468338389603328, 252190997066643909120, 17324237625466992906240, 1271459220768570290626560, 99289436336361780797288448

Offset: 0

Author

Seiichi Manyama, Nov 07 2024

Keywords

• nonn

Links

• Index entries for reversions of series

Crossrefs

Cf. A138013, A377790.

Cf. A370941, A371005.

Programs

PARI

my(N=20, x='x+O('x^N)); Vec(serlaplace(serreverse(x/(1-2*log(1-x)))/x))

PARI

a(n) = n!*sum(k=0, n, 2^k*abs(stirling(n, k, 1))/(n-k+1)!);

Formula

a(n) = n! * Sum_{k=0..n} 2^k * |Stirling1(n,k)|/(n-k+1)!.