A305786 Inverse Euler transform of (-1)^n * n!.

-1, 2, -4, 17, -92, 576, -4156, 34159, -314368, 3199936, -35703996, 433421495, -5687955724, 80256879068, -1211781887796, 19496946534720, -333041104402860, 6019770247224496, -114794574818830716, 2303332661416242633, -48509766592884311132, 1069983257387168051076

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..449

N. J. A. Sloane, Transforms

Formula

Product_{k>=1} 1/(1-x^k)^{a(k)} = Sum_{n>=0} (-1)^n * n! * x^n.

a(n) ~ (-1)^n * n!. - Vaclav Kotesovec, Oct 09 2019

Example

(1-x) * (1-x^2)^(-2) * (1-x^3)^4 * (1-x^4)^(-17) * ... = 1 - x + 2*x^2 - 6*x^3 + 24*x^4 - ... .

Crossrefs

Cf. A112354, A133942.

Sequence in context: A020035 A112005 A212581 * A009319 A347724 A009323

Adjacent sequences: A305783 A305784 A305785 * A305787 A305788 A305789

Keyword

sign

Author

Seiichi Manyama, Jun 10 2018

Status

approved