A355764 E.g.f. satisfies log(A(x)) = (1 - exp(-x*A(x))) * A(x)^2.

1, 1, 6, 77, 1533, 41547, 1427789, 59501185, 2916185862, 164377512831, 10477134939301, 745130845917317, 58499605416732225, 5025399546258317683, 468897159717886522970, 47222645752129576973609, 5105611277081800029406545, 589843003782904742592169479

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..n} (-1)^(n-k) * (n+2*k+1)^(k-1) * Stirling2(n,k).

Prog

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

Crossrefs

Cf. A334986, A349558.

Sequence in context: A215551 A154645 A299434 * A301834 A366540 A030641

Adjacent sequences: A355761 A355762 A355763 * A355765 A355766 A355767

Keyword

nonn

Author

Seiichi Manyama, Jul 16 2022

Status

approved