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A002336 Maximal kissing number of n-dimensional laminated lattice. 9
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 (list; graph; refs; listen; history; text; internal format)
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. Mus├Ęs, 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

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Last modified August 16 05:55 EDT 2022. Contains 356160 sequences. (Running on oeis4.)