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

Author

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

Keywords

• nonn

Comments

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

References

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

Crossrefs

Cf. A003785, A055747, A056945.

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