A356786 E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(x * A(x)^2).

1, 0, 2, 3, 92, 510, 15114, 174300, 5558944, 103712616, 3672530280, 96397602840, 3830335035240, 129817630491120, 5796134828193696, 239906921239210680, 11996259216566469120, 584024600798956215360, 32523678395272329425856

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = n! * Sum_{k=0..floor(n/2)} (n+k+1)^(k-1) * |Stirling1(n-k,k)|/(n-k)!.

Prog

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

Crossrefs

Cf. A184949, A349559, A356787.

Cf. A355766.

Sequence in context: A299691 A042901 A356796 * A002983 A118167 A291932

Adjacent sequences: A356783 A356784 A356785 * A356787 A356788 A356789

Keyword

nonn

Author

Seiichi Manyama, Aug 27 2022

Status

approved