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

0,4

References

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

Links

Table of n, a(n) for n=0..36.

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.

Crossrefs

Cf. A003782.

Sequence in context: A156375 A219718 A296823 * A088833 A181598 A181705

Adjacent sequences: A003780 A003781 A003782 * A003784 A003785 A003786

Keyword

nonn

Author

N. J. A. Sloane

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

Status

approved