A316085 Product_{k>=1} 1/(1 - a(k)*x^k) = Sum_{k>=0} (k*x)^k.

1, 3, 23, 220, 2800, 42315, 763220, 15710280, 366711200, 9529898752, 273549419552, 8586085364211, 292755986184548, 10772558331396572, 425587704331945152, 17966093939959188380, 807152054953801845760, 38451298338305570267680

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..386

Formula

a(n) ~ n^n. - Vaclav Kotesovec, Jun 18 2019

Example

1/((1-x)*(1-3*x^2)*(1-23*x^3)*(1-220*x^4)* ... ) = 1 + x + 4*x^2 + 27*x^3 + 256*x^4 + ... .

Crossrefs

Cf. A000312, A316083.

Sequence in context: A235360 A135423 A114017 * A068691 A093135 A305754

Adjacent sequences: A316082 A316083 A316084 * A316086 A316087 A316088

Keyword

nonn

Author

Seiichi Manyama, Jun 23 2018

Status

approved