A014496 Theta series of hypothetical extremal 3-modular even 36-dimensional lattice with minimal norm 8 and det = 3^18.

1, 0, 0, 0, 646380, 24820992, 565367040, 7735875840, 74930308740, 554813521920, 3327411177216, 16817959549440, 73810081135980, 287829601113600, 1014561150624000, 3277808159415552, 9820670338068660

Offset

0,5

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 204.

Links

Table of n, a(n) for n=0..16.

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.

Crossrefs

Sequence in context: A231323 A253405 A034628 * A251398 A057847 A058327

Adjacent sequences: A014493 A014494 A014495 * A014497 A014498 A014499

Keyword

nonn,nice

Author

N. J. A. Sloane, Eric Rains

Status

approved