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A035898 Coordination sequence for diamond structure D^+_44. (Edges defined by l_1 norm = 1.) +0
1
1, 3872, 2501312, 648339296, 90488748416, 7914446636448, 476256430985280, 21013302552438240, 712041389847515904, 19196735036095030304, 423435066223344657856, 7816588585484214789216, 123043988694170338503808 (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=44.

CROSSREFS

Sequence in context: A068267 A103117 A035781 this_sequence A108005 A065696 A014891

Adjacent sequences: A035895 A035896 A035897 this_sequence A035899 A035900 A035901

KEYWORD

nonn

AUTHOR

J. Serra-Sagrista (jserra(AT)ccd.uab.es) Recomputed by N. J. A. Sloane (njas(AT)research.att.com) Nov 27 1998.

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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