A377360 E.g.f. satisfies A(x) = ( 1 - log(1 - x*A(x)) )^2.

1, 2, 12, 130, 2082, 44488, 1192964, 38557860, 1459988440, 63414711072, 3108861424032, 169829819311392, 10230860299538400, 673850170929176928, 48176129912775680160, 3715759452364764485280, 307545698210584533055488, 27190399275422185989742080, 2557448587458299889542868480

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for reversions of series

Formula

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A367080.

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

E.g.f.: (1/x) * Series_Reversion( x/(1 - log(1-x))^2 ).

Prog

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

Crossrefs

Cf. A138013, A377361.

Cf. A097629, A367080, A376392.

Sequence in context: A365601 A185751 A090361 * A258467 A286422 A073551

Adjacent sequences: A377357 A377358 A377359 * A377361 A377362 A377363

Keyword

nonn

Author

Seiichi Manyama, Oct 26 2024

Status

approved