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Search: id:A035838
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| A035838 |
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Coordination sequence for A_12 lattice. |
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+0
2
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| 1, 156, 6162, 112268, 1219374, 9129276, 51697802, 235895244, 907129236, 3037849828, 9079799742, 24680519604, 61908797418, 144977296932, 319917948246, 670283877588
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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}^12 C(13, d) C(m/2-1, d-1) C(12-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Sequence in context: A038476 A065699 A023903 this_sequence A035824 A006112 A028675
Adjacent sequences: A035835 A035836 A035837 this_sequence A035839 A035840 A035841
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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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