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A048057 Fourier coefficients of T_{12}. +0
6
1, 24, -196560, -47709536, -3688365156, -157770831888, -4592324039296, -101169692036160, -1798121610692694, -26893040697287128, -348647102287069824, -4004453472837158880, -41433637398554661080 (list; graph; listen)
OFFSET

-2,2

COMMENT

T_{12} is a weight = -10 normalized meromorphic modular form for SL(2,Z) with all poles at infinity.

REFERENCES

C. L. Siegel, Advanced Analytic Number Theory, Tata Institute of Fundamental Research, Bombay, 1980, pp. 249-268.

FORMULA

G.f.: G_{14}/\Delta^2 (in Siegel's notation.)

EXAMPLE

T_{12} = q^(-2)+24 q^(-1) - 196560 q^0 - 47709536 q^1 - 3688365156 q^2 - ....

CROSSREFS

Cf. A048057, A006922, A048100, A048101, A048110, A048145.

Sequence in context: A052504 A061527 A056947 this_sequence A058550 A007240 A061526

Adjacent sequences: A048054 A048055 A048056 this_sequence A048058 A048059 A048060

KEYWORD

easy,sign

AUTHOR

Barry Brent (barryb(AT)primenet.com)

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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