A022077 Theta series of D*_24 lattice.

1, 48, 1104, 16192, 170064, 1362336, 25439936, 44981376, 597735504, 721175536, 6949969248, 6631997376, 51590848192, 41469483552, 281239310208, 200343312768, 1222458062928, 793229226336, 4463565085328, 2697825744960, 14228067218784, 8110465650176

Offset

0,2

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

Example

G.f. = 1 + 48*q^2 + 1104*q^4 + ...

Prog

(Sage)
L = [1, 48, 1104, 16192]
M = ModularForms(Gamma0(2), 12)
bases = [_.q_expansion(20) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f) # Andy Huchala, Jul 14 2021

Crossrefs

Sequence in context: A010839 A000156 A319309 * A010964 A287991 A290403

Adjacent sequences: A022074 A022075 A022076 * A022078 A022079 A022080

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 14 2021

Status

approved