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Search: id:A035885
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| A035885 |
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Coordination sequence for diamond structure D^+_18. (Edges defined by l_1 norm = 1.) |
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+0
1
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| 1, 0, 648, 0, 70416, 0, 3116952, 0, 76117536, 131072, 1205253288, 22413312, 13740702000, 784465920, 121013567928, 13231325184, 863382367296, 141764198400, 5162116908744, 1105760747520
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.
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LINKS
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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).
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MAPLE
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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=18.
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CROSSREFS
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Sequence in context: A057942 A046020 A108821 this_sequence A114827 A034281 A006914
Adjacent sequences: A035882 A035883 A035884 this_sequence A035886 A035887 A035888
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KEYWORD
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nonn
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AUTHOR
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J. Serra-Sagrista (jserra(AT)ccd.uab.es) Recomputed by njas Nov 27 1998.
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