Search: id:A035314
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%I A035314
%S A035314 1,480,28404,682240,10460070,120178944,1122367480,8942109696,62733463065,
%T A035314 396222777600,2289950627940,12261279536640,61415457336714,290017200522240,
%U A035314 1299352388589720,5552275006294016,22728781503345645,89469772048615680
%V A035314 1,-480,-28404,-682240,-10460070,-120178944,-1122367480,-8942109696,-62733463065,
%W A035314 -396222777600,-2289950627940,-12261279536640,-61415457336714,-290017200522240,
%X A035314 -1299352388589720,-5552275006294016,-22728781503345645,-89469772048615680
%N A035314 Fourier coefficients of T_8.
%C A035314 T_8 is the unique weight = -6 normalized meromorphic modular form for 
               SL(2,Z) with all poles at infinity.
%D A035314 C.L. Siegel, Advanced Analytic Number Theory,Tata Institute of Fundamental 
               Research, Bombay, 1980, pp. 249-268.
%F A035314 Gen. fcn. = G_6/Delta (in Siegel's notation.)
%e A035314 T_8 = 1/q - 480 - 28404 q - ....
%o A035314 (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 */
%Y A035314 Sequence in context: A108876 A083728 A063870 this_sequence A022047 A107511 
               A008410
%Y A035314 Adjacent sequences: A035311 A035312 A035313 this_sequence A035315 A035316 
               A035317
%K A035314 easy,sign
%O A035314 -1,2
%A A035314 Barry Brent (barryb(AT)primenet.com)

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