A006914 Theta series of laminated lattice LAMBDA_12^{max}. (Formerly M5468)

1, 0, 648, 3072, 20232, 36864, 158112, 202752, 646920, 712704, 2025648, 1926144, 4936608, 4460544, 10891584, 9160704, 20700936, 17031168, 38421864, 29703168, 63245232, 49201152, 104361696, 77285376, 157848480, 117227520, 240598512, 172849152, 340059456

Offset

0,3

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 157.

E. C. Pervin, personal communication.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

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

Prog

(Sage)
M = ModularForms(Gamma0(4), 6, prec=20)
bases = M.integral_basis()
f = sum(x*y for (x, y) in zip(bases, [1, 0, 648, 3072]))
f.coefficients(range(20)) # Andy Huchala, Jun 19 2021

Crossrefs

Sequence in context: A157432 A272780 A171606 * A337313 A204392 A233677

Adjacent sequences: A006911 A006912 A006913 * A006915 A006916 A006917

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Andy Huchala, Jun 19 2021

Status

approved