A022085 Theta series of D*_32 lattice.

1, 64, 1984, 39680, 575424, 6448000, 58115328, 433131008, 7019874240, 14709082432, 206518750336, 285848172800, 3185272407296, 3515371815296, 32146948928000, 30156949879296, 238103408854976, 197101549419648, 1393386325958336, 1045365667116800, 6768246939487360

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Examples

			G.f. = 1 + 64*q^2 + 1984*q^4 + ...
		

References

• J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 120.

Links

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

Programs

Sage

L = [1, 64, 1984, 39680, 575424]
M = ModularForms(Gamma0(2),16)
bases = [.q_expansion(30) for  in M.integral_basis()]
f = sum(x*y for (x,y) in zip(bases,L)); list(f) # Andy Huchala, Jul 15 2021

Extensions

More terms from Andy Huchala, Jul 15 2021