A032800 If there were a 9-dimensional unimodular lattice with minimal norm 2, this would be its theta series; however, no such lattice exists.

1, 0, 252, 456, 2178, 4320, 7176, 13536, 21744, 35072, 43560, 60984, 95712, 125280, 143280, 178080, 261234, 315648, 347748, 424152, 557280, 665280, 695592, 804960, 1070112, 1262592, 1226520, 1418592

Offset

0,3

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 416.

Links

Table of n, a(n) for n=0..27.

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: A072443 A129623 A062904 * A024749 A024757 A254467

Adjacent sequences: A032797 A032798 A032799 * A032801 A032802 A032803

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved