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A035876 Coordination sequence for A_50 lattice. +0
2
1, 2550, 1626900, 462400850, 74214929700, 7664751475110, 553532399900300, 29615721096973650, 1225039098412340850, 3590506114488268218, 8783999011080470236 (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}^50 C(51, d) C(m/2-1, d-1) C(50-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A045213 A111729 A135924 this_sequence A072435 A050413 A050544

Adjacent sequences: A035873 A035874 A035875 this_sequence A035877 A035878 A035879

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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