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A035782 Coordination sequence for C_45 lattice. +0
1
1, 4050, 2736450, 741759570, 108242937090, 9895463694162, 622155720985410, 28667877399006930, 1013960660749554690, 28517022732422789330, 655766098851343900482, 12611613545459896364370, 206678785994044883684610 (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))^45 if norm is even; otherwise 0.

CROSSREFS

Sequence in context: A060896 A001382 A090058 this_sequence A108006 A020430 A163010

Adjacent sequences: A035779 A035780 A035781 this_sequence A035783 A035784 A035785

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

Recomputed Nov 25 1998 by N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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