%I #9 Dec 10 2017 03:52:21
%S 1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,
%T 0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,2,0,1,0,0,1,0,2,0,2,0,
%U 1,0,0,0,1,1,1,1,0,1,0,2,0,2,0,2,1,1,1,0
%N Expansion of Product_{k>0} (1 + x^(k*(3*k+1)/2)).
%t nmax = 100; CoefficientList[Series[Product[(1 + x^(k*(3*k+1)/2)), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Dec 10 2017 *)
%o (PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1+x^(k*(3*k+1)/2))))
%Y Cf. A218380, A290942, A296237.
%K nonn
%O 0,58
%A _Seiichi Manyama_, Dec 09 2017