%I #7 Dec 04 2017 09:18:19
%S 1,1,0,2,0,1,3,0,3,0,6,1,3,5,0,13,-3,15,-3,14,6,11,16,-4,38,-16,51,
%T -24,65,-14,46,21,10,80,-49,154,-102,216,-136,242,-119,198,1,68,189,
%U -153,486,-425,775,-672,1024,-779,1035,-628,782,-97,96,816,-930,2069,-2203,3428,-3413,4546,-4130,4958
%N Expansion of Product_{k>=1} ((1 - x^(2*k))/(1 - x^(2*k-1)))^k.
%F G.f.: Product_{k>=1} ((1 - x^(2*k))/(1 - x^(2*k-1)))^k.
%t nmax = 65; CoefficientList[Series[Product[((1 - x^(2 k))/(1 - x^(2 k - 1)))^k, {k, 1, nmax}], {x, 0, nmax}], x]
%Y Cf. A008439, A008441, A008443, A010054, A295831, A295832, A296047.
%K sign
%O 0,4
%A _Ilya Gutkovskiy_, Dec 03 2017