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A035293
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Fourier coefficients of T_6.
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3
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1, 504, 73764, 2695040, 54755730, 778640256, 8638286840, 79534711296, 632179869615, 4456706505600, 28415446027380, 166276832866560, 903193785328974, 4595374951395840, 22061107725128280, 100534965940777984
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OFFSET
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-1,2
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COMMENTS
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T_6 is the unique weight = -4 normalized meromorphic modular form for SL(2,Z) with all poles at infinity.
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REFERENCES
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C. L. Siegel, Advanced Analytic Number Theory, Tata Institute of Fundamental Research, Bombay, 1980, pp. 249-268.
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LINKS
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FORMULA
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G.f.: G_8/Delta (in Siegel's notation).
G.f.: E_4^2 / Delta where Delta = eta(q)^24. - Sean A. Irvine, Oct 03 2020
a(n) ~ exp(4*Pi*sqrt(n)) / (sqrt(2) * n^(11/4)). - Vaclav Kotesovec, Oct 04 2020
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EXAMPLE
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T_6 = 1/q + 504 + 73764 q + ....
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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Barry Brent (barryb(AT)primenet.com)
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STATUS
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approved
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