%I #7 Jan 23 2018 08:58:44
%S 1,0,0,0,-1,0,0,0,0,-1,0,0,0,1,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,1,0,-1,0,-1,0,1,1,0,0,0,0,0,0,0,-2,-1,0,1,1,1,0,-1,0,1,0,0,0,-1,0,
%U -1,1,0,0,1,-1,-1,0,0,1,1,0,0,-2,0,0,1,0,0,-1,-1,2,1,1,0,-1,-1
%N Expansion of Product_{k>=2} (1 - x^(k^2)).
%C The difference between the number of partitions of n into an even number of distinct squares > 1 and the number of partitions of n into an odd number of distinct squares > 1.
%C Partial sums of A276516.
%H <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>
%H <a href="/index/Par#part">Index entries for related partition-counting sequences</a>
%F G.f.: Product_{k>=2} (1 - x^(k^2)).
%t nmax = 92; CoefficientList[Series[Product[1 - x^k^2, {k, 2, Floor[Sqrt[nmax]] + 1}], {x, 0, nmax}], x]
%Y Cf. A001156, A033461, A078134, A276516, A280129, A292520, A298600.
%K sign
%O 0,50
%A _Ilya Gutkovskiy_, Jan 22 2018