A055764 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_3^8.

1, 0, 0, 4, 86, 0, 0, 32032, 130020, 0, 0, 3679212, 9178840, 0, 0, 95627232, 188216478, 0, 0, 1143121804, 1959809640, 0, 0, 8506573728, 13292794152, 0, 0, 45762056912, 67074024512, 0, 0, 195391063872, 272568063636, 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}-52*phi_12.

G.f.: b(z) - 52*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

A008702, A055747, A003785.

Sequence in context: A116330 A055776 A055591 * A163279 A130268 A293318

Adjacent sequences: A055761 A055762 A055763 * A055765 A055766 A055767

Keyword

nonn

Author

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

Status

approved