A003782 Coefficients of Jacobi Eisenstein series of index 1 and weight 6.

1, 0, 0, -88, -330, 0, 0, -4224, -7524, 0, 0, -30600, -46552, 0, 0, -130944, -169290, 0, 0, -355080, -464904, 0, 0, -899712, -1052040, 0, 0, -1732192, -2099328, 0, 0, -3421440, -3859812, 0, 0, -5593104

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..35.

Formula

t3^3*(t3^8-11*(t3^4*t2^4)/8+11*(t2^8)/32) where tj=theta_j(z) is associated weight 11/2 form. - Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 26 2000

Crossrefs

Cf. A003783.

Sequence in context: A261142 A328872 A001347 * A235026 A323612 A235019

Adjacent sequences: A003779 A003780 A003781 * A003783 A003784 A003785

Keyword

sign

Author

N. J. A. Sloane

Status

approved