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

0,3

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

Example

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

Prog

(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

Crossrefs

Sequence in context: A284277 A133215 A343426 * A128382 A028532 A028522

Adjacent sequences: A015229 A015230 A015231 * A015233 A015234 A015235

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 23 2021

Status

approved