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%I #19 Jan 24 2018 08:46:34
%S 1,0,1,1,2,2,2,3,5,5,5,7,9,10,11,14,18,20,22,27,32,36,40,48,57,63,70,
%T 82,95,106,119,137,158,175,195,222,252,280,311,352,397,439,486,546,
%U 611,676,747,834,929,1024,1128,1253,1389,1528,1679,1857,2052,2250,2467,2718
%N McKay-Thompson series of class 60C for Monster.
%H G. C. Greubel, <a href="/A058727/b058727.txt">Table of n, a(n) for n = -1..1000</a>
%H D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Commun. Algebra 22, No. 13, 5175-5193 (1994).
%H <a href="/index/Mat#McKay_Thompson">Index entries for McKay-Thompson series for Monster simple group</a>
%F a(n) ~ exp(2*Pi*sqrt(n/15)) / (2 * 15^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Sep 07 2017
%F Expansion of (eta(q^6])*eta(q^10))^3 /(eta(q^2)*eta(q^3)* eta(q^5)* eta(q^12)*eta(q^20)* eta(q^30)) in powers of q. - _G. C. Greubel_, Jan 23 2018
%e T60C = 1/q + q + q^2 + 2*q^3 + 2*q^4 + 2*q^5 + 3*q^6 + 5*q^7 + 5*q^8 + 5*q^9 + ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; a[n_]:= SeriesCoefficient[(eta[q^6]* eta[q^10])^3 /(eta[q^2]*eta[q^3]* eta[q^5]*eta[q^12]*eta[q^20]* eta[q^30]), {q, 0, n}]; Table[a[n], {n, -1, 50}] (* _G. C. Greubel_, Jan 23 2018 *)
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%Y Cf. A145725 (same sequence except for n=0).
%K nonn
%O -1,5
%A _N. J. A. Sloane_, Nov 27 2000
%E More terms from _Michel Marcus_, Feb 18 2014
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