A056950 Jacobi form of weight 12 and index 1 associated with a nonexistent Niemeier lattice of Coxeter number 11.

1, 0, 0, 18, 226, 0, 0, 30800, 128172, 0, 0, 3697062, 9189144, 0, 0, 95514672, 188176158, 0, 0, 1143458294, 1959992760, 0, 0, 8506375824, 13292036472, 0, 0, 45760253096, 67075640896, 0, 0, 195396517152, 272568595860, 0, 0

Offset

0,4

Comments

a(n)>=0, for n<1000.

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} + (2*h - 60) * E_{12, 1} where h = 11.

a(n) = A055747(n) - 38*A003785(n). - Sean A. Irvine, May 18 2022

Crossrefs

Cf. A003785, A055747, A056945.

Sequence in context: A153709 A017933 A021384 * A021144 A296854 A296941

Adjacent sequences: A056947 A056948 A056949 * A056951 A056952 A056953

Keyword

nonn

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 18 2000

Status

approved