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%I #15 Jun 21 2018 21:21:14
%S 1,2,-2,4,3,2,-6,4,7,12,-10,16,16,14,-20,20,29,40,-40,52,52,52,-70,68,
%T 91,114,-116,148,149,152,-190,196,242,296,-306,368,383,396,-478,496,
%U 590,698,-730,856,897,940,-1096,1152,1342,1548,-1630,1876,1975,2080,-2390,2516
%N McKay-Thompson series of class 16e for the Monster group.
%H G. C. Greubel, <a href="/A058526/b058526.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>
%e T16e = 1/q + 2*q - 2*q^3 + 4*q^5 + 3*q^7 + 2*q^9 - 6*q^11 + 4*q^13 + ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; nmax = 100; e4D := q^(1/2)*(eta[q]/eta[q^2])^12; T4B := e4D + 64*q/e4D; T8C := (((e4D + 64*q/e4D) /. {q -> q^4}) + O[q]^nmax)^(1/2); a:= CoefficientList[Series[(1 + 4*q + ((T8C - 1) // Normal /. {q -> q^4}) + O[q]^nmax)^(1/2), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 20 2018 *)
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%K sign
%O 0,2
%A _N. J. A. Sloane_, Nov 27 2000
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