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A052240 McKay-Thompson series of class 7B for Monster. 1
1, 0, 2, 8, -5, -4, -10, 12, -7, 8, 46, -36, -26, -44, 46, -28, 42, 188, -132, -96, -167, 172, -98, 120, 596, -420, -286, -492, 496, -280, 368, 1680, -1151, -792, -1332, 1320, -735, 916, 4264, -2908, -1960, -3252, 3200, -1764, 2230, 10104 (list; graph; refs; listen; history; text; internal format)
OFFSET

-1,3

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

Table of n, a(n) for n=-1..44.

Index entries for McKay-Thompson series for Monster simple group

FORMULA

Expansion of (eta(q)/eta(q^7))^4 (except for constant term).

EXAMPLE

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 + ...

CROSSREFS

Essentially same as A030181.

Sequence in context: A157648 A021782 A155808 * A035490 A019678 A115319

Adjacent sequences:  A052237 A052238 A052239 * A052241 A052242 A052243

KEYWORD

sign

AUTHOR

N. J. A. Sloane Nov 25, 2000.

STATUS

approved

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Last modified May 23 01:22 EDT 2013. Contains 225585 sequences.