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Search: id:A035851
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| A035851 |
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Coordination sequence for A_25 lattice. |
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+0
1
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| 1, 650, 105950, 7746050, 323371100, 8818775030, 171332460650, 2520031983950, 29356499303300, 280442899885850, 2258408187518990, 15677116400829650, 95542687574917700, 519065738821138550, 2546320423186207850
(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}^25 C(26, d) C(m/2-1, d-1) C(25-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Sequence in context: A157915 A158639 A162025 this_sequence A110836 A043605 A151736
Adjacent sequences: A035848 A035849 A035850 this_sequence A035852 A035853 A035854
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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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