A305787 Inverse Euler transform of (-n)^n.

-1, 4, -23, 223, -2800, 42599, -763220, 15734388, -366715248, 9533820200, -273549419552, 8586984241870, -292755986184548, 10772849584162694, -425587711650564816, 17966217346985801150, -807152054953801845760, 38451365602113718874568, -1936082850634342992601636

Offset: 1

Author

Seiichi Manyama, Jun 10 2018

Keywords

• sign

Examples

			(1-x) * (1-x^2)^(-4) * (1-x^3)^23 * (1-x^4)^(-223) * ... =  1 - x + 4*x^2 - 27*x^3 + 256*x^4 - ... .
		

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..386
• N. J. A. Sloane, Transforms

Crossrefs

Cf. A177885, A305754.

Formula

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

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