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

0,2

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 + 64*q^2 + 1984*q^4 + ...

Prog

(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

Crossrefs

Sequence in context: A010841 A226558 A302856 * A017780 A324492 A035727

Adjacent sequences: A022082 A022083 A022084 * A022086 A022087 A022088

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 15 2021

Status

approved