A022067 Theta series of D*_14 lattice.

1, 0, 28, 0, 364, 0, 2912, 16384, 16044, 0, 64792, 229376, 200928, 0, 503360, 1490944, 1089452, 0, 2186940, 6193152, 4196920, 0, 7544992, 19382272, 12547808, 0, 19975256, 50692096, 31553344, 0, 48484800, 116523008, 70439852, 0, 99602104, 241106944, 142487436

Offset

0,3

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

G. Nebe and N. J. A. Sloane, Home page for this lattice

Example

G.f. = 1 + 28*q^2 + 364*q^4 + ...

Prog

(Sage)
L = [1, 0, 28, 0]
M = ModularForms(Gamma1(4), 7)
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 13 2021

Crossrefs

Sequence in context: A365482 A243105 A023925 * A284454 A040790 A040789

Adjacent sequences: A022064 A022065 A022066 * A022068 A022069 A022070

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 13 2021

Status

approved