A015232 Theta series of lattice Kappa_10.

1, 0, 276, 888, 3564, 8136, 16908, 30456, 58380, 74256, 145800, 186048, 265866, 363528, 555384, 576000, 939924, 1063800, 1355820, 1659528, 2302704, 2206848, 3387744, 3557664, 4263468, 4961736, 6611736, 6043416, 8841960, 9005112, 10439424, 11761848, 15056124

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Examples

			G.f. = 1 + 276*q^4 + 888*q^6 + ...
		

References

• J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 161.

Links

• Andy Huchala, Table of n, a(n) for n = 0..20000

Programs

Sage

L = [ 1, 0, 276, 888, 3564, 8136, 16908, 30456, 58380, 74256, 145800, 186048, 265866, 363528, 555384, 576000]
e = DirichletGroup(18,QQ).0
M = ModularForms(e, 5)
bases = [.q_expansion(40) for  in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f) # Andy Huchala, Jul 23 2021

Extensions

More terms from Andy Huchala, Jul 23 2021