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A035749 Coordination sequence for C_12 lattice. +0
2
1, 288, 14016, 284000, 3281280, 25534368, 148321344, 688686048, 2681291520, 9060853280, 27266245056, 74501171808, 187641279616, 440840828064, 975339085632, 2047881308384, 4106643801600 (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))^12 if norm is even; otherwise 0.

CROSSREFS

Sequence in context: A128392 A049230 A033692 this_sequence A048145 A022154 A069329

Adjacent sequences: A035746 A035747 A035748 this_sequence A035750 A035751 A035752

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 July 25 07:41 EDT 2008. Contains 142293 sequences.


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