A371327 E.g.f. satisfies A(x) = -log(1 - x/(1 - A(x)))/(1 - A(x)).

0, 1, 5, 59, 1128, 29954, 1019282, 42318296, 2074276320, 117237652008, 7506386360232, 536983774338120, 42447806791009056, 3674351246886880416, 345667310491536157056, 35116581800947400780928, 3831441153568328284066560, 446832269484565155280539264

Offset: 0

Author

Seiichi Manyama, Mar 19 2024

Keywords

• nonn

Links

• Index entries for reversions of series

Crossrefs

Cf. A052842, A371328.

Cf. A052851, A376041, A376042.

Programs

PARI

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

Formula

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

E.g.f.: Series_Reversion( (1 - x) * (1 - exp(-x * (1 - x))) ). - Seiichi Manyama, Sep 08 2024