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A003783 Coefficients of Jacobi Eisenstein series of index 1 and weight 8.

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%I A003783 #14 Dec 26 2021 20:48:13
%S A003783 1,0,0,56,366,0,0,14016,33156,0,0,260712,462392,0,0,1987392,2998638,0,
%T A003783 0,9090984,12799080,0,0,31997376,41846952,0,0,89282144,113936064,0,0,
%U A003783 222509952,271647108,0,0,482553936,583789398
%N A003783 Coefficients of Jacobi Eisenstein series of index 1 and weight 8.
%D A003783 M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985, p. 141.
%F A003783 The series is t3^3*[t3^12-15*(t3^8*t2^4)/8+15*(t3^4*t2^8)/16-7*(t2^12)/128] where tj=theta_j(z) is the associated weight 15/2 form.
%Y A003783 Cf. A003782.
%K A003783 nonn
%O A003783 0,4
%A A003783 _N. J. A. Sloane_
%E A003783 More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 26 2000
%E A003783 a(31) corrected by _Sean A. Irvine_, Jan 20 2016