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Search: id:A035842
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| A035842 |
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Coordination sequence for A_16 lattice. |
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1
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| 1, 272, 18632, 579632, 10501172, 127485584, 1135620536, 7907476016, 45076309166, 217815522736, 916470530808, 3429182092560, 11603837100660, 35995371261360, 103501142484360, 278406848295312
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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}^16 C(17, d) C(m/2-1, d-1) C(16-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Sequence in context: A141546 A000517 A023907 this_sequence A000518 A162009 A028467
Adjacent sequences: A035839 A035840 A035841 this_sequence A035843 A035844 A035845
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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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