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%I #25 Dec 07 2023 16:35:56
%S 0,2,6,12,24,40,72,126,240,272,336,438,648,906,1422,2340,4320,5346,
%T 7398,10668,17400,27720,49896,93150,196560,196656
%N Maximal kissing number of n-dimensional laminated lattice.
%C 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.
%H J. H. Conway and N. J. A. Sloane, <a href="http://dx.doi.org/10.1007/978-1-4757-2016-7">Sphere Packings, Lattices and Groups</a>, Springer-Verlag, p. 174.
%H C. Musès, <a href="http://dx.doi.org/10.1016/S0096-3003(97)00004-0">The dimensional family approach in (hyper)sphere packing...</a>, Applied Math. Computation 88 (1997), pp. 1-26.
%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/kiss.html">Table of highest kissing numbers known</a>
%F a(n) <= A001116(n).
%Y Cf. A001116, A028923, A257479.
%K nonn,nice,more
%O 0,2
%A _N. J. A. Sloane_ and _J. H. Conway_
%E In dimensions 25-32 the highest kissing numbers presently known for laminated lattices are 196848, 197142, 197736, 198506, 200046, 202692, 208320.
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