A055757 Jacobi form of weight 12 and index 1 for Niemeier lattice of type E_6^4 or A_11 D_7 E_6.

1, 0, 0, 20, 246, 0, 0, 30624, 127908, 0, 0, 3699612, 9190616, 0, 0, 95498592, 188170398, 0, 0, 1143506364, 1960018920, 0, 0, 8506347552, 13291928232, 0, 0, 45759995408, 67075871808, 0, 0, 195397296192, 272568671892, 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}-36*phi_12.

G.f.: b(z) - 36*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

A008695, A055747, A003785.

Sequence in context: A123954 A125432 A278673 * A022744 A081143 A218101

Adjacent sequences: A055754 A055755 A055756 * A055758 A055759 A055760

Keyword

nonn

Author

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

Status

approved