A055754 Jacobi form of weight 12 and index 1 for Niemeier lattice of type D_8^3.

1, 0, 0, 24, 286, 0, 0, 30272, 127380, 0, 0, 3704712, 9193560, 0, 0, 95466432, 188158878, 0, 0, 1143602504, 1960071240, 0, 0, 8506291008, 13291711752, 0, 0, 45759480032, 67076333632, 0, 0, 195398854272, 272568823956, 0, 0

Offset

0,4

References

Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser,1985.

Links

Table of n, a(n) for n=0..34.

Formula

E_8*E_{4, 1}-32*phi_12.

G.f.: b(z) - 32*c(z) where b(z) is the g.f. for A055747 and c(z) is the g.f. for A003785. - Sean A. Irvine, Apr 05 2022

Crossrefs

A008693, A055747, A003785.

Sequence in context: A222156 A297604 A001496 * A297082 A282154 A035707

Adjacent sequences: A055751 A055752 A055753 * A055755 A055756 A055757

Keyword

nonn

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 12 2000

Status

approved