A377426 E.g.f. satisfies A(x) = 1/(1 + log(1 - x*A(x)^4)).

1, 1, 11, 254, 9096, 443874, 27487034, 2065181880, 182545878152, 18562391987880, 2134764133508832, 273978733525211472, 38820518588599921200, 6019219063397716575840, 1013766602891962529642832, 184300120562198063868474624, 35971439241165448281366023424

Offset: 0

Author

Seiichi Manyama, Oct 28 2024

Keywords

• nonn

Crossrefs

Cf. A007840, A052802, A367138, A367139.

Cf. A377427, A377429.

Programs

PARI

a(n) = sum(k=0, n, (4*n+k)!*abs(stirling(n, k, 1)))/(4*n+1)!;

Formula

a(n) = (1/(4*n+1)!) * Sum_{k=0..n} (4*n+k)! * |Stirling1(n,k)|.