A055756 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_12^2.

1, 0, 0, 22, 266, 0, 0, 30448, 127644, 0, 0, 3702162, 9192088, 0, 0, 95482512, 188164638, 0, 0, 1143554434, 1960045080, 0, 0, 8506319280, 13291819992, 0, 0, 45759737720, 67076102720, 0, 0, 195398075232, 272568747924, 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}-34*phi_12.

G.f.: b(z) + 32*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

A008694, A055747, A003785.

Sequence in context: A213352 A004412 A172242 * A128766 A278153 A223116

Adjacent sequences: A055753 A055754 A055755 * A055757 A055758 A055759

Keyword

nonn

Author

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

Status

approved