A355765 E.g.f. satisfies A(x)^2 * log(A(x)) = 1 - exp(-x*A(x)).

1, 1, -2, 5, -27, 307, -4403, 71353, -1333090, 28816647, -709090995, 19516306141, -593330123807, 19747569261851, -714304238263502, 27903505800651169, -1170716239531658759, 52503701213718494671, -2506483879112555156467, 126905975195788734150405

Offset

0,3

Links

Table of n, a(n) for n=0..19.

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, A349589.

Sequence in context: A097565 A079716 A322151 * A203195 A333120 A058182

Adjacent sequences: A355762 A355763 A355764 * A355766 A355767 A355768

Keyword

sign

Author

Seiichi Manyama, Jul 16 2022

Status

approved