A379897 E.g.f. A(x) satisfies A(x) = 1/(exp(-x*A(x)^3) - x).

1, 2, 19, 388, 12273, 528216, 28824811, 1907463440, 148449329825, 13287501321472, 1344889039128291, 151888157696186880, 18936317798871433681, 2583256803370493809664, 382764484828432552194875, 61215815097927618654693376, 10510472883169375744953509697, 1928296235410784800904193638400

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..319

Formula

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

Prog

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

Crossrefs

Cf. A377893, A379870, A379912.

Cf. A088690, A379884.

Sequence in context: A325288 A155927 A378042 * A353290 A332967 A120420

Adjacent sequences: A379894 A379895 A379896 * A379898 A379899 A379900

Keyword

nonn,new

Author

Seiichi Manyama, Jan 05 2025

Status

approved