A371330 E.g.f. satisfies A(x) = (exp(x/(1 - A(x))) - 1)/(1 - A(x))^2.

0, 1, 7, 112, 2901, 104176, 4788191, 268323756, 17744075761, 1352623086136, 116780496526515, 11263219375425172, 1200239384528276285, 140044340185131990336, 17757626485468691645479, 2431398542489983741458940, 357522675169127219183137737

Offset: 0

Author

Seiichi Manyama, Mar 19 2024

Keywords

• nonn

Links

• Index entries for reversions of series

Crossrefs

Cf. A052892, A371329.

Programs

PARI

a(n) = sum(k=1, n, (n+3*k-2)!/(n+2*k-1)!*stirling(n, k, 2));

Formula

a(n) = Sum_{k=1..n} (n+3*k-2)!/(n+2*k-1)! * Stirling2(n,k).

E.g.f.: Series_Reversion( (1 - x) * log(1 + x * (1 - x)^2) ). - Seiichi Manyama, Sep 08 2024