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Search: id:A035862
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| A035862 |
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Coordination sequence for A_36 lattice. |
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+0 1
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| 1, 1332, 444222, 66139572, 5580415332, 304443650268, 11684773278474, 334649195749404, 7470745282556604, 134455435826431124, 2003982934266044766, 6835991174171767892
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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}^36 C(37, d) C(m/2-1, d-1) C(36-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Sequence in context: A050646 A044882 A158743 this_sequence A003907 A043613 A028501
Adjacent sequences: A035859 A035860 A035861 this_sequence A035863 A035864 A035865
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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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