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%I #6 Aug 17 2019 02:38:51
%S 1,1,2,4,6,9,15,21,30,45,62,85,120,161,216,293,385,505,667,862,1112,
%T 1438,1833,2330,2965,3733,4688,5887,7334,9114,11319,13970,17203,21162,
%U 25905,31643,38605,46911,56891,68904,83179,100224,120603,144719,173360,207396
%N Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(2*k)) * (1 + x^(3*k)) * (1 + x^(4*k)).
%H Vaclav Kotesovec, <a href="/A327046/b327046.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) ~ sqrt(5) * exp(5*Pi*sqrt(n)/6) / (16*sqrt(3)*n^(3/4)).
%t nmax = 50; CoefficientList[Series[Product[(1+x^k) * (1+x^(2*k)) * (1+x^(3*k)) * (1+x^(4*k)), {k, 1, nmax}], {x, 0, nmax}], x]
%Y Cf. A000009, A001935, A327045, A327047.
%Y Cf. A107742, A327043.
%K nonn
%O 0,3
%A _Vaclav Kotesovec_, Aug 16 2019
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