A055752 Jacobi form of weight 12 and index 1 for Niemeier lattice of type A_17*E_7 or D_10*E_7^2.

1, 0, 0, 32, 366, 0, 0, 29568, 126324, 0, 0, 3714912, 9199448, 0, 0, 95402112, 188135838, 0, 0, 1143794784, 1960175880, 0, 0, 8506177920, 13291278792, 0, 0, 45758449280, 67077257280, 0, 0, 195401970432, 272569128084, 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}-24*phi_12.

G.f.: b(z) - 24*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

A008691, A055747, A003785.

Sequence in context: A240787 A191901 A191489 * A362234 A250170 A125420

Adjacent sequences: A055749 A055750 A055751 * A055753 A055754 A055755

Keyword

nonn

Author

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

Status

approved