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%I #20 Jun 27 2018 10:54:05
%S 1,1,4,1,5,6,10,9,15,15,27,27,44,41,65,67,96,104,141,150,209,223,302,
%T 317,420,459,592,642,811,890,1122,1225,1530,1664,2055,2262,2754,3035,
%U 3658,4030,4847,5344,6382,7011,8325,9193,10832,11961,14000,15465,18064,19929,23172,25544,29575
%N McKay-Thompson series of class 40A for Monster.
%H G. C. Greubel, <a href="/A058662/b058662.txt">Table of n, a(n) for n = -1..1500</a>
%H D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Comm. 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(sqrt(2*n/5)*Pi) / (2^(5/4) * 5^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Jun 27 2018
%e T40A = 1/q + q^3 + 4*q^7 + q^11 + 5*q^15 + 6*q^19 + 10*q^23 + 9*q^27 + ...
%t eta[q_] := q^(1/24)*QPochhammer[q]; nmax = 100; A := q^(1/2)*(eta[q]* eta[q^5]/(eta[q^2]*eta[q^10]))^2; a := CoefficientList[Series[((A + 4*q/A) + O[q]^nmax)^(1/2), {q, 0, 70}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 24 2018 *)
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%K nonn
%O -1,3
%A _N. J. A. Sloane_, Nov 27 2000
%E Terms a(6) onward added by _G. C. Greubel_, Jun 24 2018
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