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%I #9 Jun 28 2018 03:38:12
%S 1,1,0,1,-1,0,1,0,0,2,-1,0,2,1,0,2,0,0,3,0,0,4,-1,0,4,1,0,6,-1,0,7,2,
%T 0,8,-2,0,10,2,0,12,-2,0,14,2,0,16,-1,0,19,2,0,22,-3,0,26,2,0,30,-3,0,
%U 35,5,0,41,-5,0,47,4,0,54,-5,0,62,6,0,70,-4,0,80,4,0,92,-7,0,104,7,0,118,-7,0,135
%N McKay-Thompson series of class 60e for the Monster group.
%H G. C. Greubel, <a href="/A112203/b112203.txt">Table of n, a(n) for n = 0..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>, 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 Expansion of A + q/A, where A = q^(1/2)*(eta(q^6)*eta(q^15)/( eta(q^3)* eta(q^30))), in powers of q. - _G. C. Greubel_, Jun 28 2018
%e T60e = 1/q +q +q^5 -q^7 +q^11 +2*q^17 -q^19 +2*q^23 +q^25 +...
%t eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^6]*eta[q^15]/( eta[q^3]*eta[q^30])); a:= CoefficientList[Series[A + q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 28 2018 *)
%o (PARI) q='q+O('q^50); A = (eta(q^6)*eta(q^15)/(eta(q^3)*eta(q^30))); Vec(A + q/A) \\ _G. C. Greubel_, Jun 28 2018
%K sign
%O 0,10
%A _Michael Somos_, Aug 28 2005
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