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Search: id:A006088
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| A006088 |
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a(n) = (2^n + 2) a(n-1) (kissing number of Barnes-Wall lattice in dimension 2^n).
(Formerly M3606)
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+0
2
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| 1, 4, 24, 240, 4320, 146880, 9694080, 1260230400, 325139443200, 167121673804800, 171466837323724800, 351507016513635840000, 1440475753672879672320000, 11803258325595576034990080000, 193408190923209108909347450880000
(list; graph; listen)
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OFFSET
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0,2
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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. 151.
J. Leech, Some sphere packings in higher space, Canad. J. Math., 16 (1964), 657-682.
C. Muses, The dimensional family approach in (hyper)sphere packing..., Applied Math. Computation 88 (1997), pp. 1-26, see p. 22.
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LINKS
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Robert L. Griess Jr. Pieces of 2^d: Existence and uniqueness for Barnes-Wall and Ypsilanti lattices. Mar 28 2004. See Proposition 8.9.
G. Nebe and N. J. A. Sloane, Table of highest kissing numbers known
Index entries for sequences related to Barnes-Wall lattices
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FORMULA
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(2+2)(2+4)(2+8)(2+16)...(2+2^n ).
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MAPLE
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a[0]:=1: for n from 1 to 16 do a[n]:=(2^n+2)*a[n-1] od: seq(a[n], n=0..16); (Deutsch)
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CROSSREFS
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Sequence in context: A052718 A061640 A126391 this_sequence A141013 A095340 A141014
Adjacent sequences: A006085 A006086 A006087 this_sequence A006089 A006090 A006091
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KEYWORD
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nonn,easy
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AUTHOR
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njas, John Leech
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 10 2004
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