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A035854 Coordination sequence for A_28 lattice. +0
1
1, 812, 165242, 15055292, 780951962, 26359518332, 630816932522, 11367003681452, 161269749071102, 1864649147486972, 18058470057117602, 149786240635178252, 1083811462665042482, 6947150732631302732 (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}^28 C(29, d) C(m/2-1, d-1) C(28-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A093633 A045228 A158667 this_sequence A099116 A015159 A064583

Adjacent sequences: A035851 A035852 A035853 this_sequence A035855 A035856 A035857

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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