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%I #20 Jun 26 2018 08:41:50
%S 1,0,4,6,11,18,28,42,62,90,128,180,250,342,464,624,831,1098,1440,1878,
%T 2432,3132,4012,5112,6485,8190,10300,12900,16097,20016,24804,30636,
%U 37724,46314,56700,69228,84302,102402,124088,150024,180973,217836
%N McKay-Thompson series of class 24I for Monster.
%H G. C. Greubel, <a href="/A058579/b058579.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^4)^4*eta(q^6)^4)/(eta(q)*eta(q^2)^2*eta(q^3) *eta(q^8)*eta(q^12)^2*eta(q^24)) in powers of q. - _G. C. Greubel_, Jun 18 2018
%F a(n) ~ exp(sqrt(2*n/3)*Pi) / (2^(5/4) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Jun 26 2018
%e T24I = 1/q + 4*q + 6*q^2 + 11*q^3 + 18*q^4 + 28*q^5 + 42*q^6 + 62*q^7 + ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; A:= (eta[q^4]^4*eta[q^6]^4)/(eta[q]* eta[q^2]^2*eta[q^3]*eta[q^8]*eta[q^12]^2*eta[q^24]); a:=CoefficientList[ Series[-1 + A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 18 2018 *)
%o (PARI) q='q+O('q^50); A = -1 + (eta(q^4)^4*eta(q^6)^4)/(eta(q)*eta(q^2)^2 *eta(q^3)*eta(q^8)*eta(q^12)^2*eta(q^24))/q; Vec(A) \\ _G. C. Greubel_, Jun 18 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%Y Cf. A138688 (same sequence except for n=0).
%K nonn
%O -1,3
%A _N. J. A. Sloane_, Nov 27 2000
%E More terms from _Michel Marcus_, Feb 18 2014
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