

A045480


McKayThompson series of class 3A for Monster. Expansion of Hauptmodul for X_0^{+}(3).


5



1, 6, 783, 8672, 65367, 371520, 1741655, 7161696, 26567946, 90521472, 288078201, 864924480, 2469235686, 6748494912, 17746495281, 45086909440, 111066966315, 266057139456, 621284327856, 1417338712800, 3164665156308
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OFFSET

1,2


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1002
J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308339.
N. D. Elkies, Elliptic and modular curves over finite fields and related computational issues, in AMS/IP Studies in Advanced Math., 7 (1998), 2176, esp. p. 39.
D. Ford, J. McKay and S. P. Norton, More on replicable functions, Comm. Algebra 22, No. 13, 51755193 (1994).
J. McKay and H. Strauss, The qseries of monstrous moonshine and the decomposition of the head characters, Comm. Algebra 18 (1990), no. 1, 253278.
Index entries for McKayThompson series for Monster simple group


FORMULA

a(n) ~ exp(4*Pi*sqrt(n/3)) / (sqrt(2) * 3^(1/4) * n^(3/4)).  Vaclav Kotesovec, Apr 01 2017


MATHEMATICA

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] (* JeanFrançois Alcover, Mar 08 2017, after Michael Somos (A007243) *)


CROSSREFS

Apart from constant term, same as A007243, A030197.
Sequence in context: A088217 A242850 A020542 * A006114 A321426 A281566
Adjacent sequences: A045477 A045478 A045479 * A045481 A045482 A045483


KEYWORD

nonn,nice,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



