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

0,2

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

Table of n, a(n) for n=0..25.

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

Formula

a(n) <= A001116(n).

Crossrefs

Cf. A001116, A028923, A257479.

Sequence in context: A028923 A187272 A001116 * A030625 A029929 A222785

Adjacent sequences: A002333 A002334 A002335 * A002337 A002338 A002339

Keyword

nonn,nice,more

Author

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

Extensions

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

Status

approved