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Search: id:A035858
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| A035858 |
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Coordination sequence for A_32 lattice. |
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+0
1
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| 1, 1056, 279312, 33020768, 2216449224, 96447982752, 2962111270448, 68139802316256, 1226979622925364, 17893889175680672, 217162303201118352, 2242202047912186080
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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}^32 C(33, d) C(m/2-1, d-1) C(32-d+m/2, m/2), where norm m is always even
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CROSSREFS
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Adjacent sequences: A035855 A035856 A035857 this_sequence A035859 A035860 A035861
Sequence in context: A020389 A090005 A023072 this_sequence A120215 A035760 A107556
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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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