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 A035314 Fourier coefficients of T_8. 0
 1, -480, -28404, -682240, -10460070, -120178944, -1122367480, -8942109696, -62733463065, -396222777600, -2289950627940, -12261279536640, -61415457336714, -290017200522240, -1299352388589720, -5552275006294016, -22728781503345645, -89469772048615680 (list; graph; refs; listen; history; text; internal format)
 OFFSET -1,2 COMMENTS T_8 is the unique weight = -6 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. LINKS FORMULA Gen. fcn. = G_6/Delta (in Siegel's notation.) EXAMPLE T_8 = 1/q - 480 - 28404 q - .... PROG (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 */ CROSSREFS Sequence in context: A199808 A199809 A063870 * A022047 A107511 A008410 Adjacent sequences:  A035311 A035312 A035313 * A035315 A035316 A035317 KEYWORD easy,sign AUTHOR Barry Brent (barryb(AT)primenet.com) STATUS approved

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