A014497 Theta series of hypothetical extremal 3-modular even 48-dimensional lattice with minimal norm 10 and det = 3^24.

1, 0, 0, 0, 0, 14152320, 805896000, 28658448000, 615404790000, 9246706560000, 104318470226880, 934113267360000, 6910941216816000, 43557573896928000, 239503256693064000, 1170760086470782080

Offset

0,6

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..15.

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: A373530 A092378 A034634 * A237141 A204952 A210019

Adjacent sequences: A014494 A014495 A014496 * A014498 A014499 A014500

Keyword

nonn

Author

N. J. A. Sloane, Eric Rains

Status

approved