A363355 E.g.f. satisfies A(x) = exp(x * A(x) * (1 + x * A(x)^2)).

1, 1, 5, 46, 641, 11996, 282907, 8060242, 269429729, 10341367480, 448317429011, 21667926214694, 1155321200076529, 67370686916807236, 4265392644606677963, 291391173322695366106, 21365209437807863776193, 1673543873372595900318704

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

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

Crossrefs

Cf. A088695, A362771, A363356.

Cf. A365012.

Sequence in context: A071214 A052873 A052894 * A292408 A339229 A295552

Adjacent sequences: A363352 A363353 A363354 * A363356 A363357 A363358

Keyword

nonn

Author

Seiichi Manyama, Aug 17 2023

Status

approved