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%I #4 Aug 28 2015 03:15:34
%S 1,3,3,1,0,3,9,9,3,3,12,18,12,6,18,37,33,15,22,54,66,42,36,81,114,84,
%T 57,112,189,171,109,156,279,294,201,222,405,486,360,328,564,747,617,
%U 504,783,1123,1017,783,1065,1602,1605
%N Expansion of Product_{k>=0} (1+x^(4*k+1))^3.
%F a(n) ~ exp(Pi*sqrt(n)/2) / (2^(5/4) * n^(3/4)).
%t nmax=50; CoefficientList[Series[Product[(1+x^(4*k+1))^3, {k, 0, nmax}], {x, 0, nmax}], x]
%Y Cf. A261612, A261615, A261633, A169975, A261630.
%K nonn
%O 0,2
%A _Vaclav Kotesovec_, Aug 27 2015