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Search: id:A035314
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| A035314 |
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Fourier coefficients of T_8. |
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+0
1
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| 1, -480, -28404, -682240, -10460070, -120178944, -1122367480, -8942109696, -62733463065, -396222777600, -2289950627940, -12261279536640, -61415457336714, -290017200522240, -1299352388589720, -5552275006294016, -22728781503345645, -89469772048615680
(list; graph; listen)
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OFFSET
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-1,2
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COMMENT
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T_8 is the unique weight = -6 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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FORMULA
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Gen. fcn. = G_6/Delta (in Siegel's notation.)
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EXAMPLE
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T_8 = 1/q - 480 - 28404 q - ....
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PROGRAM
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(PARI) {a(n)=local(A); if(n<-1, 0, n++; A=x*O(x^n); polcoeff( sum(k=1, n, -504*sigma(k, 5)*x^k, 1+A)/eta(x+A)^24, n))} /* Michael Somos Oct 30 2006 */
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CROSSREFS
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Sequence in context: A108876 A083728 A063870 this_sequence A022047 A107511 A008410
Adjacent sequences: A035311 A035312 A035313 this_sequence A035315 A035316 A035317
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KEYWORD
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easy,sign
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AUTHOR
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Barry Brent (barryb(AT)primenet.com)
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