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Search: id:A035867
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| A035867 |
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Coordination sequence for A_41 lattice. |
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1
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| 1, 1722, 742182, 142663682, 15514489872, 1088445250494, 53568798667706, 1960718646502086, 55727804060652486, 1271609411092944406, 5474711436682703402
(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}^41 C(42, d) C(m/2-1, d-1) C(41-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Sequence in context: A068303 A048958 A145648 this_sequence A031814 A020427 A032354
Adjacent sequences: A035864 A035865 A035866 this_sequence A035868 A035869 A035870
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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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