A022079 Theta series of D*_26 lattice.

1, 0, 52, 0, 1300, 0, 20800, 0, 239252, 0, 2107560, 0, 14797120, 67108864, 85155200, 0, 410468500, 1744830464, 1688240372, 0, 6030043240, 21810380800, 19043826880, 0, 54177864000, 176227876864, 141373532200, 0, 343594659200, 1046898278400, 786344740480, 0

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 + 52*q^2 + 1300*q^4 + ...

Prog

(SageMath)
L = [1, 0, 52, 0, 1300, 0, 20800]
M = ModularForms(Gamma1(4), 13)
bases = [_.q_expansion(20) for _ in M.integral_basis()]
f = sum(x*y for (x, y) in zip(bases, L)); list(f)

Crossrefs

Sequence in context: A214373 A230299 A308235 * A230107 A275412 A100990

Adjacent sequences: A022076 A022077 A022078 * A022080 A022081 A022082

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Andy Huchala, Jul 14 2021

Status

approved