login
Expansion of Product_{k>=1} ((1 + k*x^k) / (1 - x^k))^k.
2

%I #4 Feb 06 2016 14:17:34

%S 1,2,8,26,73,210,558,1460,3663,9090,21846,51690,120140,274480,618656,

%T 1374792,3017867,6546610,14053312,29852658,62825894,131025056,

%U 270948160,555811298,1131498850,2286780266,4589706604,9151298134,18131193484,35706460678,69910352496

%N Expansion of Product_{k>=1} ((1 + k*x^k) / (1 - x^k))^k.

%H Vaclav Kotesovec, <a href="/A268502/b268502.txt">Table of n, a(n) for n = 0..5000</a>

%t nmax = 50; CoefficientList[Series[Product[((1+k*x^k)/(1-x^k))^k, {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A000219, A022629, A266891, A267004, A268500, A268501.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Feb 06 2016