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Search: id:A035871
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| A035871 |
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Coordination sequence for A_45 lattice. |
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+0
1
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| 1, 2070, 1072260, 247572690, 32307967980, 2716364821590, 159949347063420, 6990685556924610, 236719501733097990, 6419344706383457730
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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R. Bacher, P. de la Harpe and B. Venkov, Series de croissance et series d'Ehrhart associees aux reseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.
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LINKS
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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
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sum_{d=1}^45 C(46, d) C(m/2-1, d-1) C(45-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Sequence in context: A119722 A015993 A065217 this_sequence A062913 A096927 A076425
Adjacent sequences: A035868 A035869 A035870 this_sequence A035872 A035873 A035874
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KEYWORD
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nonn,easy
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AUTHOR
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Serra-Sagrista, Joan; jserra(AT)ccd.uab.es
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