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A035855 Coordination sequence for A_29 lattice. +0
1
1, 870, 189660, 18502290, 1026829680, 37041354030, 946156012020, 18170467948410, 274296114962940, 3368607034611630, 34588475083615740, 303610009666655370, 2320524189173327760 (list; graph; listen)
OFFSET

0,2

REFERENCES

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.

LINKS

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).

FORMULA

Sum_{d=1}^29 C(30, d) C(m/2-1, d-1) C(29-d+m/2, m/2), where norm m is always even

CROSSREFS

Adjacent sequences: A035852 A035853 A035854 this_sequence A035856 A035857 A035858

Sequence in context: A129034 A038657 A063900 this_sequence A031783 A045258 A038658

KEYWORD

nonn,easy

AUTHOR

Serra-Sagrista, Joan; jserra(AT)ccd.uab.es

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.


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