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A035781 Coordination sequence for C_44 lattice. +0
1
1, 3872, 2501312, 648339296, 90488748416, 7914446636448, 476256430985280, 21013302552438240, 712041389847515904, 19196735036095030304, 423435066223344657856, 7816588576688121767008, 123043979986038246517888 (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

((1+x)/(1-x))^44 if norm is even; otherwise 0.

CROSSREFS

Sequence in context: A015069 A015070 A068267 this_sequence A035898 A108005 A065696

Adjacent sequences: A035778 A035779 A035780 this_sequence A035782 A035783 A035784

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

Recomputed Nov 25 1998 by njas.

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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