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%I #25 Jun 19 2018 12:32:46
%S 1,0,-1,1,-1,0,2,-1,-1,3,-2,-2,5,-2,-3,6,-4,-4,9,-5,-7,12,-7,-7,18,-9,
%T -10,22,-13,-14,31,-16,-18,39,-22,-24,53,-28,-31,66,-37,-38,87,-46,
%U -51,108,-59,-64,138,-74,-80,171,-94,-100,216,-115,-126,266,-144
%N McKay-Thompson series of class 33A for Monster.
%H G. C. Greubel, <a href="/A058636/b058636.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)*eta(q^11)/(eta(q^3)*eta(q^33)), in powers of q. - _G. C. Greubel_, Jun 19 2018
%e T33A = 1/q - q + q^2 - q^3 + 2*q^5 - q^6 - q^7 + 3*q^8 - 2*q^9 - 2*q^10 + ...
%t eta[q_]:= q^(1/24)*QPochhammer[q]; A := (eta[q]*eta[q^11])/(eta[q^3] *eta[q^33]); a := CoefficientList[Series[1 + A, {q, 0, 60}], q]; Table[a[[n]], {n, 1, 50}] (* _G. C. Greubel_, Jun 19 2018 *)
%o (PARI) q='q+O('q^50); A = 1 + eta(q)*eta(q^11)/(eta(q^3)*eta(q^33))/q; Vec(A) \\ _G. C. Greubel_, Jun 19 2018
%Y Cf. A000521, A007240, A014708, A007241, A007267, A045478, etc.
%Y Cf. A226009 (same sequence except for n=0).
%K sign
%O -1,7
%A _N. J. A. Sloane_, Nov 27 2000
%E More terms from _Michel Marcus_, Feb 18 2014
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