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A008416
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Coordination sequence for 8-dimensional cubic lattice.
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3
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1, 16, 128, 688, 2816, 9424, 27008, 68464, 157184, 332688, 658048, 1229360, 2187520, 3732560, 6140800, 9785072, 15158272, 22900496, 33830016, 48978352, 69629696, 97364944, 134110592, 182192752
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_16].
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REFERENCES
| M. Beck and S. Hosten, Cyclotomic polytopes and growth series of cyclotomic lattices, arXiv math.CO/0508136.
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LINKS
| T. D. Noe, Table of n, a(n) for n=0..1000
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (Abstract, pdf, ps).
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FORMULA
| G.f.: ((1+x)/(1-x))^8.
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CROSSREFS
| Sequence in context: A153115 A138331 A008535 * A045651 A035473 A014972
Adjacent sequences: A008413 A008414 A008415 * A008417 A008418 A008419
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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