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%I #23 Jun 05 2018 02:48:46
%S 1,0,0,2,-1,-2,4,-2,-2,6,-4,-4,10,-6,-8,16,-9,-10,24,-14,-16,36,-20,
%T -24,53,-30,-32,76,-43,-48,108,-60,-68,150,-84,-92,206,-114,-128,280,
%U -155,-172,376,-208,-228,504,-276,-304,668,-366,-400,878,-480,-524,1148
%N McKay-Thompson series of class 24C for Monster.
%H G. C. Greubel, <a href="/A058573/b058573.txt">Table of n, a(n) for n = -1..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>, 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 -1 + (eta(q^2)*eta(q^4))^2/(eta(q)*eta(q^3)*eta(q^8)* eta(q^24)) in powers of q. - _G. C. Greubel_, Jun 04 2018
%e T24C = 1/q + 2*q^2 - q^3 - 2*q^4 + 4*q^5 - 2*q^6 - 2*q^7 + 6*q^8 - 4*q^9 - ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; a:= CoefficientList[Series[q*(-1 + (eta[q^2]*eta[q^4])^2/(eta[q]*eta[q^3]*eta[q^8]*eta[q^24])), {q, 0, 60}], q]; Table[a[[n]], {n,1,50}] (* _G. C. Greubel_, Jun 04 2018 *)
%o (PARI) q='q+O('q^70); F= -1 + (eta(q^2)*eta(q^4))^2/(eta(q)*eta(q^3) *eta(q^8)*eta(q^24))/q; Vec(F) \\ _G. C. Greubel_, Jun 04 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%Y Cf. A184990 (same sequence except for n=0).
%K sign
%O -1,4
%A _N. J. A. Sloane_, Nov 27 2000
%E More terms from _Michel Marcus_, Feb 18 2014
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