A023937 Theta series of laminated lattice LAMBDA_14.

1, 0, 1422, 13056, 84024, 285696, 958422, 2131200, 5413374, 9655296, 20529216, 32221440, 61570992, 87542784, 154925820, 206952192, 345543480, 439022592, 698892510, 853288704, 1321785360, 1557921792, 2326595904, 2692744704, 3941172102, 4428518400, 6356272428

Offset

0,3

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 174.

Links

Andy Huchala, Table of n, a(n) for n = 0..20000

Prog

(Sage)
e = DirichletGroup(12).1
M = ModularForms(e, 7, QQ, prec=30)
bases = M.integral_basis()
f = sum(x*y for (x, y) in zip(bases, [1, 0, 1422, 13056, 84024, 285696, 958422, 2131200, 5413374, 9655296, 20529216, 32221440, 61570992, 87542784, 154925820, 206952192]))
f.coefficients(range(30)) # Andy Huchala, Jun 19 2021

Crossrefs

Sequence in context: A293093 A337671 A237960 * A225567 A216444 A083428

Adjacent sequences: A023934 A023935 A023936 * A023938 A023939 A023940

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Andy Huchala, Jun 19 2021

Status

approved