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%I #4 Aug 28 2015 03:15:12
%S 1,3,6,10,15,24,37,54,75,103,144,198,265,348,456,599,777,993,1262,
%T 1602,2028,2543,3165,3930,4868,6003,7359,8991,10965,13329,16138,19473,
%U 23448,28171,33738,40293,48025,57132,67803,80267,94845,111888,131736,154779,181530
%N Expansion of Product_{k>=0} 1/(1-x^(4*k+1))^3.
%F a(n) ~ exp(Pi*sqrt(n/2)) * 2^(3/8) * Gamma(1/4)^3 / (16 * Pi^(9/4) * n^(3/8)).
%t nmax=50; CoefficientList[Series[Product[1/(1-x^(4*k+1))^3, {k, 0, nmax}], {x, 0, nmax}], x]
%Y Cf. A035382, A261616, A261631, A035451, A261629.
%K nonn
%O 0,2
%A _Vaclav Kotesovec_, Aug 27 2015