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A045489 McKay-Thompson series of class 7A for Monster. +0
3
1, 3, 51, 204, 681, 1956, 5135, 12360, 28119, 60572, 125682, 251040, 487426, 920568, 1699611, 3070508, 5445510, 9490116, 16283793, 27537708, 45959775, 75760640, 123471327, 199081632, 317814988 (list; graph; listen)
OFFSET

-1,2

REFERENCES

J. H. Conway and S. P. Norton, Monstrous Moonshine, Bull. Lond. Math. Soc. 11 (1979) 308-339.

N. D. Elkies, Elliptic and modular curves..., in AMS/IP Studies in Advanced Math., 7 (1998), 21-76, esp. p. 66.

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).

J. McKay and H. Strauss, The q-series of monstrous moonshine and the decomposition of the head characters. Comm. Algebra 18 (1990), no. 1, 253-278.

LINKS

Index entries for McKay-Thompson series for Monster simple group

FORMULA

Expansion of (h+7)^2/h, where h = (eta(q)/eta(q^7))^4.

EXAMPLE

q^(-1)+3+51*q+204*q^2+681*q^3+O(q^4).

CROSSREFS

Essentially same as A007264 and A030183.

Sequence in context: A071094 A144987 A062216 this_sequence A145242 A075869 A126685

Adjacent sequences: A045486 A045487 A045488 this_sequence A045490 A045491 A045492

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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