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A002336
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Maximal kissing number of n-dimensional laminated lattice.
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12
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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
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OFFSET
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0,2
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COMMENTS
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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. See Conway and Sloane for details.
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 174.
C. Muses, The dimensional family approach in (hyper)sphere packing..., Applied Math. Computation 88 (1997), pp. 1-26.
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LINKS
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Table of n, a(n) for n=0..25.
G. Nebe and N. J. A. Sloane, Table of highest kissing numbers known
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CROSSREFS
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Sequence in context: A028923 A187272 A001116 * A030625 A029929 A222785
Adjacent sequences: A002333 A002334 A002335 * A002337 A002338 A002339
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane and J. H. Conway (conway(AT)math.princeton.edu)
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EXTENSIONS
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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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STATUS
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approved
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