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A035857 Coordination sequence for A_31 lattice. 0
1, 992, 246512, 27390112, 1728939192, 70807488864, 2048715010256, 44450256810016, 755891034102316, 10424936982850656, 119820002520271088, 1173396885194646560 (list; graph; refs; listen; history; internal format)
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}^31 C(32, d) C(m/2-1, d-1) C(31-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A183973 A181601 A181707 * A028513 A182694 A057698

Adjacent sequences:  A035854 A035855 A035856 * A035858 A035859 A035860

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 17 04:26 EST 2012. Contains 205978 sequences.