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%I #21 Feb 10 2023 10:18:41
%S 0,0,1,8,32,96,244,528,1024,1856,3126,5016,7808,11616,16808,23856,
%T 32768,44352,59293,77352,100032,128128,161052,201264,249856,305280,
%U 371294,450128,537856,640992,762744,894528,1048576,1228224,1419858,1642080,1897376,2167008
%N Expansion of eta(q^2)^12 * eta(q^4)^8 / eta(q)^8 in powers of q.
%C The average order of a(n) is n^5 * Pi^6 / 30720. - _Vaclav Kotesovec_, Feb 09 2023
%H Seiichi Manyama, <a href="/A286399/b286399.txt">Table of n, a(n) for n = 0..10000</a>
%F G.f.: x^2 * Product_{k>0} (1 - x^(2 * k))^12 * (1 - x^(4 * k))^8 / (1 - x^k)^8.
%t CoefficientList[x^2 * Series[QPochhammer[x^2]^12 * QPochhammer[x^4]^8 / QPochhammer[x]^8, {x, 0, 40}], x] (* _Vaclav Kotesovec_, Feb 08 2023 *)
%Y Cf. A013973 (E_6), A045828.
%K nonn
%O 0,4
%A _Seiichi Manyama_, May 08 2017
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