A355768 E.g.f. satisfies A(x)^(A(x)^2) = 1 + x*A(x).

1, 1, -2, 6, -28, 260, -3948, 71120, -1392368, 29971008, -724981920, 19800726528, -603571233120, 20210951379840, -734663902256256, 28785160833254400, -1210241780559067392, 54390280325210271744, -2602745536670709682176, 132118736078618372579328

Offset

0,3

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A000142, A349587.

Cf. A162656, A349650, A355767.

Sequence in context: A002047 A126340 A370423 * A277480 A108800 A325507

Adjacent sequences: A355765 A355766 A355767 * A355769 A355770 A355771

Keyword

sign

Author

Seiichi Manyama, Jul 16 2022

Status

approved