A037219 Theta series for 10-dimensional 4-modular lattice Q10 with minimal norm 4.

1, 0, 260, 960, 3060, 8704, 16320, 28800, 53300, 87040, 127944, 175680, 262080, 391680, 489600, 600960, 835380, 1131520, 1336900, 1563840, 2054824, 2611200, 2986560, 3358080, 4194240, 5326848, 5859400

Offset

0,3

Comments

If there were a 10-dimensional unimodular lattice with minimal norm 2, this would also be its theta series; however, no such lattice exists.

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..26.

J. H. Conway and N. J. A. Sloane, On lattices equivalent to their duals, J. Number Theory, 48 (1994), 373-382 (Abstract, pdf, ps)

G. Nebe and N. J. A. Sloane, Home page for Q10 lattice

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: A185793 A237631 A202585 * A290040 A061224 A108109

Adjacent sequences: A037216 A037217 A037218 * A037220 A037221 A037222

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved