A362467 E.g.f. satisfies log(A(x)) = exp(x / A(x)^2) - 1.

1, 1, -2, 11, -97, 1162, -17401, 309297, -6284804, 141430821, -3411964025, 84469913200, -1971020234987, 31982106694501, 703663251081166, -131978337454653865, 11571772746664732291, -879307513026396837470, 64266964230133042267891

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A030019, A334241, A349598, A349683, A363302.

Cf. A349654.

Sequence in context: A260957 A368292 A166909 * A020559 A230889 A003579

Adjacent sequences: A362464 A362465 A362466 * A362468 A362469 A362470

Keyword

sign

Author

Seiichi Manyama, May 26 2023

Status

approved