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A035862 Coordination sequence for A_36 lattice. +0
1
1, 1332, 444222, 66139572, 5580415332, 304443650268, 11684773278474, 334649195749404, 7470745282556604, 134455435826431124, 2003982934266044766, 6835991174171767892 (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}^36 C(37, d) C(m/2-1, d-1) C(36-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A050646 A044882 A158743 this_sequence A003907 A043613 A028501

Adjacent sequences: A035859 A035860 A035861 this_sequence A035863 A035864 A035865

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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