A055758 Jacobi form of weight 12 and index 1 for Niemeier lattice of type D_6^4 or A_9^2 D_6.

1, 0, 0, 16, 206, 0, 0, 30976, 128436, 0, 0, 3694512, 9187672, 0, 0, 95530752, 188181918, 0, 0, 1143410224, 1959966600, 0, 0, 8506404096, 13292144712, 0, 0, 45760510784, 67075409984, 0, 0, 195395738112, 272568519828, 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}-40*phi_12.

G.f.: b(z) - 40*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

A008696, A055747, A003785.

Sequence in context: A161729 A157707 A016217 * A046088 A186853 A016159

Adjacent sequences: A055755 A055756 A055757 * A055759 A055760 A055761

Keyword

nonn

Author

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

Status

approved