A379912 E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^3) - x*A(x)).

1, 2, 23, 541, 19585, 962901, 59969227, 4526706661, 401724516641, 40994441922169, 4729721311570411, 608827327842480825, 86507217246635276065, 13448830748996370988885, 2270847762050485928361227, 413849998079530364443224781, 80967576778854924208520130241

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..314

Formula

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

Prog

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

Crossrefs

Cf. A377893, A379870, A379897.

Cf. A377890, A377892, A379885.

Sequence in context: A090731 A379867 A090314 * A084322 A073062 A015098

Adjacent sequences: A379909 A379910 A379911 * A379913 A379914 A379915

Keyword

nonn,new

Author

Seiichi Manyama, Jan 05 2025

Status

approved