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A022067
Theta series of D*_14 lattice.
1
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
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
KEYWORD
nonn
EXTENSIONS
More terms from Andy Huchala, Jul 13 2021
STATUS
approved