A055759 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_8^3.

1, 0, 0, 14, 186, 0, 0, 31152, 128700, 0, 0, 3691962, 9186200, 0, 0, 95546832, 188187678, 0, 0, 1143362154, 1959940440, 0, 0, 8506432368, 13292252952, 0, 0, 45760768472, 67075179072, 0, 0, 195394959072, 272568443796, 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}-42*phi_12.

G.f.: b(z) - 42*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

Cf. A008697, A055747, A003785.

Sequence in context: A198622 A198650 A198657 * A368702 A368536 A275084

Adjacent sequences: A055756 A055757 A055758 * A055760 A055761 A055762

Keyword

nonn

Author

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

Status

approved