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

1, 0, 0, 56, 366, 0, 0, 14016, 33156, 0, 0, 260712, 462392, 0, 0, 1987392, 2998638, 0, 0, 9090984, 12799080, 0, 0, 31997376, 41846952, 0, 0, 89282144, 113936064, 0, 0, 222509952, 271647108, 0, 0, 482553936, 583789398

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

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

Crossrefs

Cf. A003782.

Formula

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.

Extensions

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

a(31) corrected by Sean A. Irvine, Jan 20 2016