%I #3 Feb 24 2006 03:00:00

%S 1,2,0,-4,0,12,0,32728,196560,262154,0,3734484,16773120,18345916,0,

%T 103029576,398034000,376741188,0,1334312620,4629381120,3937755904,0,

%U 10792611336,34417656000,26962933262,0,62783799320,187489935360,138065611740,0,287105506144,814879774800

%N Coefficients of J(0)*theta_3(z) where J(0) is sequence A056945.

%C Note a(4n)=A008408(n) gives theta series of Leech lattice. a(4n+2)=0. a(3)<0, apparently the only negative term. What are a(4n+1), a(4n+3)?

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

%F (E_8*E_{4, 1}-60*E_{12, 1})*theta_3(z)

%Y Cf. A008408, A056945.

%K sign

%O 0,2

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