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%I #27 Jun 14 2018 20:25:38
%S 1,0,3,-4,9,-12,15,-24,39,-52,66,-96,130,-168,219,-292,390,-492,625,
%T -804,1023,-1280,1599,-2016,2508,-3096,3807,-4688,5760,-7020,8532,
%U -10368,12585,-15156,18213,-21912,26287,-31404,37410,-44584,53004,-62784,74245,-87768,103578
%N McKay-Thompson series of class 14B for Monster.
%H Seiichi Manyama, <a href="/A058503/b058503.txt">Table of n, a(n) for n = -1..10000</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 a(n) = -(-1)^n * exp(2*Pi*sqrt(n/7)) / (2*7^(1/4)*n^(3/4)). - _Vaclav Kotesovec_, Sep 07 2017
%F Expansion of F - 1 + 4/F, where F = (eta(q^2)*eta(q^14))^3/(eta(q)*eta(q^7)*(eta(q^4)*eta(q^28))^2), in powers of q. - _G. C. Greubel_, Jun 13 2018
%e T14B = 1/q + 3*q - 4*q^2 + 9*q^3 - 12*q^4 + 15*q^5 - 24*q^6 + 39*q^7 - ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; b:= (eta[q^2]*eta[q^14])^3/(eta[q]*
%t eta[q^7]*(eta[q^4]*eta[q^28])^2); a:= CoefficientList[Series[q*(b -1 + 4/b), {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 13 2018 *)
%o (PARI) q='q+O('q^30); A = q^(-1)*(eta(q^2)*eta(q^14))^3/(eta(q)*eta(q^7)*(eta(q^4)*eta(q^28))^2); Vec(A -1 + 4/A) \\ _G. C. Greubel_, Jun 13 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%Y Cf. A132319 (same sequence except for n=0).
%K sign
%O -1,3
%A _N. J. A. Sloane_, Nov 27 2000
%E More terms from _Michel Marcus_, Feb 18 2014
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