A056949 J(1)*theta3(z) where J(1) is the series given by A056948.

1, 2, 0, -2, 24, 52, 0, 32556, 195984, 261626, 0, 3736682, 16779168, 18348900, 0, 103018596, 397998672, 376729140, 0, 1334328534, 4629497040, 3937811168, 0, 10792678852, 34417510848, 26962705262, 0, 62783490188, 187489533504, 138066125924, 0, 287105737648, 814881802320

Offset: 0

Author

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 17 2000

Keywords

• sign

Comments

a(4n) gives the series A056948(n). It seems only a(3) is negative. What are a(4n+1), a(4n+3)?

References

• Eichler and Zagier, The Theory of Jacobi form, Birkhauser, 1985

Crossrefs

Cf. A056947, A056948.

Formula

(E_8*E_{4, 1}-56*E_{12, 1})*theta_3(z)