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%I #19 May 06 2018 00:48:40
%S 1,0,2,8,-5,-4,-10,12,-7,8,46,-36,-26,-44,46,-28,42,188,-132,-96,-167,
%T 172,-98,120,596,-420,-286,-492,496,-280,368,1680,-1151,-792,-1332,
%U 1320,-735,916,4264,-2908,-1960,-3252,3200,-1764,2230,10104
%N McKay-Thompson series of class 7B for the Monster group.
%H G. C. Greubel, <a href="/A052240/b052240.txt">Table of n, a(n) for n = -1..1000</a>
%H J. H. Conway and S. P. Norton, <a href="http://blms.oxfordjournals.org/content/11/3/308.extract">Monstrous Moonshine</a>, Bull. Lond. Math. Soc. 11 (1979) 308-339.
%H N. D. Elkies, <a href="http://www.math.harvard.edu/~elkies/modular.pdf">Elliptic and modular curves over finite fields and related computational issues</a>, in AMS/IP Studies in Advanced Math., 7 (1998), 21-76, esp. p. 39.
%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 J. McKay and H. Strauss, <a href="http://dx.doi.org/10.1080/00927879008823911">The q-series of monstrous moonshine and the decomposition of the head characters</a>, Comm. Algebra 18 (1990), no. 1, 253-278.
%H <a href="/index/Mat#McKay_Thompson">Index entries for McKay-Thompson series for Monster simple group</a>
%F Expansion of (eta(q) / eta(q^7))^4 + 4 in powers of q.
%e T7B = 1/q + 2*q + 8*q^2 - 5*q^3 - 4*q^4 - 10*q^5 + 12*q^6 - 7*q^7 + 8*q^8 + ...
%t QP = QPochhammer; s = (QP[q]/QP[q^7])^4 + 4*q + O[q]^50; CoefficientList[s, q] (* _Jean-François Alcover_, Nov 15 2015 *)
%o (PARI) q='q+O('q^30); Vec(4*q + (eta(q)/eta(q^7))^4) \\ _G. C. Greubel_, May 05 2018
%Y Essentially same as A030181.
%K sign
%O -1,3
%A _N. J. A. Sloane_, Nov 25 2000
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