A002336 Maximal kissing number of n-dimensional laminated lattice.

0, 2, 6, 12, 24, 40, 72, 126, 240, 272, 336, 438, 648, 906, 1422, 2340, 4320, 5346, 7398, 10668, 17400, 27720, 49896, 93150, 196560, 196656

Offset: 0

Author

N. J. A. Sloane and J. H. Conway

Keywords

• nonn
• nice
• more

Comments

This sequence is concerned with lattice packings. For unrestricted packings the values are presently known only in dimensions 1, 2, 3, 4, 8 and 24: 2, 6, 12, 24, 240, 196560 (cf. A257479). See Conway and Sloane for details.

Links

• J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, p. 174.
• C. Musès, The dimensional family approach in (hyper)sphere packing..., Applied Math. Computation 88 (1997), pp. 1-26.
• G. Nebe and N. J. A. Sloane, Table of highest kissing numbers known

Crossrefs

Cf. A001116, A028923, A257479.

Formula

a(n) <= A001116(n).

Extensions

In dimensions 25-32 the highest kissing numbers presently known for laminated lattices are 196848, 197142, 197736, 198506, 200046, 202692, 208320.