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A003783 Coefficients of Jacobi Eisenstein series of index 1 and weight 8. 5

%I #14 Dec 26 2021 20:48:13

%S 1,0,0,56,366,0,0,14016,33156,0,0,260712,462392,0,0,1987392,2998638,0,

%T 0,9090984,12799080,0,0,31997376,41846952,0,0,89282144,113936064,0,0,

%U 222509952,271647108,0,0,482553936,583789398

%N Coefficients of Jacobi Eisenstein series of index 1 and weight 8.

%D M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985, p. 141.

%F 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 Cf. A003782.

%K nonn

%O 0,4

%A _N. J. A. Sloane_

%E More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 26 2000

%E a(31) corrected by _Sean A. Irvine_, Jan 20 2016

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Last modified March 28 15:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)