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%I #16 Jun 28 2018 10:02:02
%S 1,1,2,1,5,3,7,7,12,10,18,17,30,29,42,43,64,64,90,94,129,134,182,192,
%T 254,267,348,369,475,506,638,685,855,918,1138,1226,1500,1624,1964,
%U 2130,2564,2781,3318,3610,4283,4660,5496,5983,7023,7650,8925,9733,11310,12330,14260,15562,17932
%N McKay-Thompson series of class 44c for Monster.
%H G. C. Greubel, <a href="/A058683/b058683.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>, 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 + 2*q/A, where A = q^(1/2)*eta(q)*eta(q^11)/(eta(q^2)* eta(q^22)), in powers of q. - _G. C. Greubel_, Jun 27 2018
%F a(n) ~ exp(2*Pi*sqrt(n/11)) / (2 * 11^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Jun 28 2018
%e T44c = 1/q + q + 2*q^3 + q^5 + 5*q^7 + 3*q^9 + 7*q^11 + 7*q^13 + 12*q^15 + ...
%t eta[q_] := q^(1/24)*QPochhammer[q]; A:= q^(1/2)*(eta[q]*eta[q^11]/( eta[q^2]*eta[q^22])); a:= CoefficientList[Series[A + 2*q/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 27 2018 *)
%o (PARI) q='q+O('q^50); A = eta(q)*eta(q^11)/(eta(q^2)*eta(q^22)); Vec(A + 2*q/A) \\ _G. C. Greubel_, Jun 27 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%K nonn
%O -1,3
%A _N. J. A. Sloane_, Nov 27 2000
%E Terms a(12) onward added by _G. C. Greubel_, Jun 27 2018
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