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

%I #3 Apr 25 2017 04:55:48

%S 1,1,8,35,107,421,1312,4474,13622,43977,130473,388025,1146640,3265446,

%T 9352424,26033637,72144351,196664848,532768901,1422725368,3768251677,

%U 9893857617,25709347054,66367179293,169754459790,431237516979,1086813719408,2722241654623

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

%t nmax=40; CoefficientList[Series[Product[(1+k^2*x^k)^k, {k, 1, nmax}], {x, 0, nmax}], x]

%Y Cf. A026007, A092484, A266891, A285674.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Apr 25 2017