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Expansion of Product_{k>=1} ((1 + k*x^k) / (1 + x^k)).
6

%I #4 Feb 06 2016 10:52:41

%S 1,0,1,2,2,6,7,14,11,42,39,70,95,142,239,378,418,624,1106,1200,2250,

%T 2836,4166,4902,8021,10410,14961,21268,29477,36714,54172,68358,95071,

%U 134946,168035,254190,322335,427338,541054,787264,964969,1340730,1748094,2311386

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

%H Vaclav Kotesovec, <a href="/A268500/b268500.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, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A022629, A267004, A267005, A268498, A268499.

%K nonn

%O 0,4

%A _Vaclav Kotesovec_, Feb 06 2016