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%I #20 Jun 16 2018 18:32:04
%S 1,0,2,1,1,3,5,2,5,3,7,7,12,8,15,15,18,20,29,23,38,36,47,48,64,61,85,
%T 83,101,107,141,132,177,177,212,230,282,277,350,355,426,450,546,545,
%U 665,695,807,857,1009,1028,1236,1287,1479,1570,1820,1888,2205,2314
%N McKay-Thompson series of class 60b for Monster.
%D D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).
%H Vaclav Kotesovec, <a href="/A058732/b058732.txt">Table of n, a(n) for n = -1..1000</a>
%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 A - q/A, where q^(1/2)*(eta(q^2)*eta(q^3)*eta(q^10) *eta(q^15)/(eta(q)*eta(q^5)*eta(q^6)*eta(q^30))), in powers of q. - _G. C. Greubel_, Jun 16 2018
%e T60b = 1/q + 2*q^3 + q^5 + q^7 + 3*q^9 + 5*q^11 + 2*q^13 + 5*q^15 + 3*q^17 + ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^2]*eta[q^3]* eta[q^10]*eta[q^15]/(eta[q]*eta[q^5]*eta[q^6]*eta[q^30])); a:= CoefficientList[Series[A - q/A, {q,0,60}], q]; Table[a[[n]], {n,1,50}] (* _G. C. Greubel_, Jun 16 2018 *)
%o (PARI) q='q+O('q^50); A = (eta(q^2)*eta(q^3)*eta(q^10)*eta(q^15)/(eta(q) *eta(q^5)*eta(q^6)*eta(q^30))); Vec(A - q/A) \\ _G. C. Greubel_, Jun 16 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%K nonn
%O -1,3
%A _N. J. A. Sloane_, Nov 27 2000
%E More terms from _Vaclav Kotesovec_, Sep 07 2017
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