%I #13 Jun 25 2018 22:52:19
%S 1,3,-1,3,-2,9,2,9,-1,24,0,27,5,51,-3,60,-4,108,6,129,-3,210,-4,252,
%T 12,393,-8,474,-10,702,16,852,-9,1224,-8,1485,29,2070,-17,2511,-22,
%U 3429,38,4155,-20,5556,-20,6723,61,8856,-36,10695,-44,13878,80,16722,-43,21450,-44,25785
%N McKay-Thompson series of class 24g for the Monster group.
%H G. C. Greubel, <a href="/A112164/b112164.txt">Table of n, a(n) for n = 0..2500</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 + 3*q/A, where A = q^(1/2)*eta(q^2)*eta(q^4)/(eta(q^6) * eta(q^12)), in powers of q. - _G. C. Greubel_, Jun 25 2018
%e T24g = 1/q + 3*q - q^3 + 3*q^5 - 2*q^7 + 9*q^9 + 2*q^11 + 9*q^13 + ...
%t eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q^2]*eta[q^4]/( eta[q^6]*eta[q^12])); a:= CoefficientList[Series[A + 3*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 25 2018 *)
%o (PARI) q='q+O('q^60); A = eta(q^2)*eta(q^4)/(eta(q^6)*eta(q^12)); Vec(A + 3*q/A) \\ _G. C. Greubel_, Jun 25 2018
%K sign
%O 0,2
%A _Michael Somos_, Aug 28 2005