A371328 E.g.f. satisfies A(x) = -log(1 - x/(1 - A(x)))/(1 - A(x))^2.

0, 1, 7, 113, 2938, 105834, 4879000, 274224572, 18187943160, 1390554133968, 120409669582344, 11647509131446176, 1244851706649736752, 145678148868683971968, 18526475978057250378144, 2544152133023519899503168, 375205794133263843411479040

Offset: 0

Author

Seiichi Manyama, Mar 19 2024

Keywords

• nonn

Links

• Index entries for reversions of series

Crossrefs

Cf. A052842, A371327.

Programs

PARI

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

Formula

a(n) = Sum_{k=1..n} (n+3*k-2)!/(n+2*k-1)! * |Stirling1(n,k)|.

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