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%I #13 Jun 27 2018 05:02:18
%S 1,0,1,1,0,-1,1,0,0,2,0,-1,2,0,1,3,0,-1,4,0,1,5,0,-1,6,0,2,7,0,-1,9,0,
%T 1,11,0,-2,13,0,2,16,0,-2,19,0,2,23,0,-3,27,0,4,32,0,-3,38,0,4,44,0,
%U -5,52,0,5,61,0,-6,71,0,6,82,0,-7,95,0,8,110,0,-8,127,0,9,145,0,-9
%N McKay-Thompson series of class 54a for Monster.
%H G. C. Greubel, <a href="/A058709/b058709.txt">Table of n, a(n) for n = -1..2500</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 + q^2/A, where A = q*(eta(q^6)*eta(q^27)/(eta(q^3)* eta(q^54))), in powers of q. - _G. C. Greubel_, Jun 27 2018
%e T54a = 1/q + q + q^2 - q^4 + q^5 + 2*q^8 - q^10 + 2*q^11 + q^13 + 3*q^14 - ...
%t eta[q_] := q^(1/24)*QPochhammer[q]; A:= q*(eta[q^6]*eta[q^27]/(eta[q^3]* eta[q^54])); a:= CoefficientList[Series[A + q^2/A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 27 2018 *)
%o (PARI) q='q+O('q^70); A = eta(q^6)*eta(q^27)/(eta(q^3)*eta(q^54)); Vec(A + q^2/A) \\ _G. C. Greubel_, Jun 27 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%K sign
%O -1,10
%A _N. J. A. Sloane_, Nov 27 2000
%E Terms a(24) onward added by _G. C. Greubel_, Jun 27 2018
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