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Search: id:A035874
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| A035874 |
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Coordination sequence for A_48 lattice. |
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+0
1
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| 1, 2352, 1384152, 362955152, 53762385852, 5126650450992, 342037616253032, 16917775827266832, 647441209728416082, 1365913075808174416
(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}^48 C(49, d) C(m/2-1, d-1) C(48-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Sequence in context: A003552 A130023 A063517 this_sequence A136420 A132391 A134966
Adjacent sequences: A035871 A035872 A035873 this_sequence A035875 A035876 A035877
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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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