%I #15 Jun 18 2019 06:56:58

%S 1,3,23,220,2800,42315,763220,15710280,366711200,9529898752,

%T 273549419552,8586085364211,292755986184548,10772558331396572,

%U 425587704331945152,17966093939959188380,807152054953801845760,38451298338305570267680

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

%H Seiichi Manyama, <a href="/A316085/b316085.txt">Table of n, a(n) for n = 1..386</a>

%F a(n) ~ n^n. - _Vaclav Kotesovec_, Jun 18 2019

%e 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 + ... .

%Y Cf. A000312, A316083.

%K nonn

%O 1,2

%A _Seiichi Manyama_, Jun 23 2018