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

%I #5 Feb 06 2016 14:17:09

%S 1,0,2,6,11,32,60,148,279,690,1312,2778,5684,11282,22920,44724,87919,

%T 168978,329800,623086,1189794,2235744,4189442,7795642,14438670,

%U 26577246,48616050,88724110,160629612,290267100,521225220,933031364,1661954928,2950946220

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

%H Vaclav Kotesovec, <a href="/A268501/b268501.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. A022629, A255528, A266891, A268500, A268502.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Feb 06 2016