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A035869 Coordination sequence for A_43 lattice. +0
1
1, 1892, 895862, 189126212, 22576717592, 1737436100444, 93714991099466, 3755363400343676, 116715616046942726, 2908413970471697116, 4323892738089960570 (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}^43 C(44, d) C(m/2-1, d-1) C(43-d+m/2, m/2), where norm m is always even

CROSSREFS

Adjacent sequences: A035866 A035867 A035868 this_sequence A035870 A035871 A035872

Sequence in context: A106764 A086476 A020321 this_sequence A045198 A020417 A078862

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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