%I #12 Jul 15 2017 08:52:20
%S 1,992,385520,73424000,7032770680,330234251072,9708251628992,
%T 205208814844160,3384709979113500,45920987396301280,
%U 531402725344000864,5384625599438260096,48726640432968418240,399835655086212744000
%N Expansion of A007245^4.
%H Seiichi Manyama, <a href="/A028513/b028513.txt">Table of n, a(n) for n = 0..1000</a>
%F (q*j(q))^(4/3) where j(q) is the elliptic modular invariant. - _Seiichi Manyama_, Jul 15 2017
%F a(n) ~ exp(8*Pi*sqrt(n/3)) / (3^(1/4)*n^(3/4)). - _Vaclav Kotesovec_, Jul 15 2017
%t CoefficientList[Series[(QPochhammer[x, x^2]^8 + 256*x/QPochhammer[x, x^2]^16)^4, {x, 0, 20}], x] (* _Vaclav Kotesovec_, Jul 15 2017 *)
%Y Cf. A000521 (j(q)).
%Y (q*j(q))^(k/24): A289397 (k=-1), A106205 (k=1), A289297 (k=2), A289298 (k=3), A289299 (k=4), A289300 (k=5), A289301 (k=6), A289302 (k=7), A007245 (k=8), A289303 (k=9), A289304 (k=10), A289305 (k=11), A161361 (k=12), A028512 (k=16), this sequence (k=32), A028514 (k=40), A028515 (k=48).
%K nonn
%O 0,2
%A _N. J. A. Sloane_
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