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A007249 McKay-Thompson series of class 4D for Monster. Unsigned sequence is McKay-Thompson series of class 8B for Monster.
(Formerly M4846)
+0
1
1, -12, 66, -232, 639, -1596, 3774, -8328, 17283, -34520, 66882, -125568, 229244, -409236, 716412, -1231048, 2079237, -3459264, 5677832, -9200232, 14729592, -23325752, 36567222, -56778888, 87369483, -133315692 (list; graph; listen)
OFFSET

0,2

REFERENCES

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

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

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

FORMULA

Expansion of Product (1+q^m)^-12; m=1..inf.

EXAMPLE

T4D = 1/q - 12*q + 66*q^3 - 232*q^5 + 639*q^7 - 1596*q^9 + 3774*q^11 - ...

CROSSREFS

Adjacent sequences: A007246 A007247 A007248 this_sequence A007250 A007251 A007252

Sequence in context: A080559 A045853 A014787 this_sequence A112142 A114243 A000972

KEYWORD

sign

AUTHOR

njas

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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