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%I #22 Jun 19 2018 12:31:36
%S 1,-2,-3,8,-2,-6,18,-20,-21,52,-24,-36,101,-78,-93,224,-116,-156,398,
%T -284,-327,772,-412,-528,1308,-866,-996,2336,-1274,-1572,3784,-2396,
%U -2745,6368,-3520,-4224,9997,-6132,-6999,16112,-8934,-10554,24630,-14784,-16776,38348,-21316,-24828,57341,-33796
%N McKay-Thompson series of class 12G for Monster.
%C The convolution square of this sequence is A121667: T12G(q)^2 = T6D(q^2). - _G. A. Edgar_, Apr 15 2017
%H G. C. Greubel, <a href="/A058485/b058485.txt">Table of n, a(n) for n = 0..1000</a> (terms 0..502 from G. A. Edgar)
%H D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Commun. 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 q^(1/2)*(eta(q)*eta(q^2)/(eta(q^3)*eta(q^6)))^2 in powers of q. - _G. C. Greubel_, Jun 18 2018
%e T12G = 1/q - 2*q - 3*q^3 + 8*q^5 - 2*q^7 - 6*q^9 + 18*q^11 - 20*q^13 - ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; a:= CoefficientList[Series[q^(1/2) (eta[q]*eta[q^2]/(eta[q^3]*eta[q^6]))^2, {q, 0, 60}], q]; Table[a[[n]], {n, 0, 50}] (* _G. C. Greubel_, Jun 18 2018 *)
%o (PARI) q='q+O('q^50); Vec((eta(q)*eta(q^2)/(eta(q^3)*eta(q^6)))^2) \\ _G. C. Greubel_, Jun 18 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, A121667, etc.
%K sign
%O 0,2
%A _N. J. A. Sloane_, Nov 27 2000
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