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%I #21 May 04 2018 22:40:41
%S 1,6,783,8672,65367,371520,1741655,7161696,26567946,90521472,
%T 288078201,864924480,2469235686,6748494912,17746495281,45086909440,
%U 111066966315,266057139456,621284327856,1417338712800,3164665156308
%N McKay-Thompson series of class 3A for Monster. Expansion of Hauptmodul for X_0^{+}(3).
%H G. C. Greubel, <a href="/A045480/b045480.txt">Table of n, a(n) for n = -1..1002</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>, Comm. 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 a(n) ~ exp(4*Pi*sqrt(n/3)) / (sqrt(2) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Apr 01 2017
%t QP = QPochhammer; A = q*O[q]^20; A = (QP[q^3 + A]/QP[q + A])^12; s = (1 + 27*q*A)^2/A - 36*q; CoefficientList[s, q] (* _Jean-François Alcover_, Mar 08 2017, after _Michael Somos_ (A007243) *)
%Y Apart from constant term, same as A007243, A030197.
%K nonn,nice,easy
%O -1,2
%A _N. J. A. Sloane_
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