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A035899 Coordination sequence for diamond structure D^+_46. (Edges defined by l_1 norm = 1.) +0
1
1, 4232, 2987792, 846141848, 128975126048, 12312430500520, 808072815510832, 38851092934042552, 1433080081936088128, 42010353222033261768, 1006338265202317013840, 20147944043360020434392, 343501353331500571867744 (list; graph; listen)
OFFSET

0,2

REFERENCES

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).

MAPLE

f := proc(m) local k, t1; t1 := 2^(n-1)*binomial((n+2*m)/2-1, n-1); if m mod 2 = 0 then t1 := t1+add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n); fi; t1; end; where n=46.

CROSSREFS

Adjacent sequences: A035896 A035897 A035898 this_sequence A035900 A035901 A035902

Sequence in context: A031563 A031743 A035783 this_sequence A108007 A031985 A138399

KEYWORD

nonn

AUTHOR

J. Serra-Sagrista (jserra(AT)ccd.uab.es) Recomputed by njas Nov 27 1998.

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.


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