A316083 Product_{k>=1} (1 + a(k)*x^k) = Sum_{k>=0} (k*x)^k.

1, 4, 23, 233, 2800, 42832, 763220, 15761709, 366711200, 9537738596, 273549419552, 8587897407548, 292755986184548, 10773140836162944, 425587704331945152, 17966341563465800813, 807152054953801845760, 38451432814472749509872, 1936082850634342992601636

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+x)*(1+4*x^2)*(1+23*x^3)*(1+233*x^4)* ... = 1 + x + 4*x^2 + 27*x^3 + 256*x^4 + ... .

Crossrefs

Cf. A000312, A147559, A147654, A158094, A316085.

Sequence in context: A295234 A306152 A292312 * A326501 A123637 A293510

Adjacent sequences: A316080 A316081 A316082 * A316084 A316085 A316086

Keyword

nonn

Author

Seiichi Manyama, Jun 23 2018

Status

approved