A022075 Theta series of D*_22 lattice.

1, 0, 44, 0, 924, 0, 12320, 0, 117084, 0, 844536, 4194304, 4812192, 0, 22297792, 92274688, 86075484, 0, 283367436, 968884224, 815677016, 0, 2108077536, 6551502848, 5012882336, 0, 11159625400, 32619102208, 23460347328, 0, 46790491968, 129830486016, 89096422492

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

Example

G.f. = 1 + 44*q^2 + 924*q^4 + ...

Prog

(Sage)
L = [ 1, 0, 44, 0, 924, 0, ]
M = ModularForms(Gamma1(4), 11)
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: A023933 A271141 A350718 * A178986 A174730 A037939

Adjacent sequences: A022072 A022073 A022074 * A022076 A022077 A022078

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 14 2021

Status

approved