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A035892
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Coordination sequence for diamond structure D^+_32. (Edges defined by l_1 norm = 1.)
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0
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1, 0, 2048, 0, 700416, 0, 96376832, 0, 7172939776, 0, 336604997632, 0, 10951050137600, 0, 263584490403840, 0, 4921913935446016, 68719476736, 73938443596679168, 12850542149632, 919638329955807232
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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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Table of n, a(n) for n=0..20.
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
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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=32.
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CROSSREFS
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Sequence in context: A289476 A353409 A222526 * A069272 A234881 A220584
Adjacent sequences: A035889 A035890 A035891 * A035893 A035894 A035895
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KEYWORD
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nonn
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AUTHOR
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Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
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EXTENSIONS
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Recomputed by N. J. A. Sloane, Nov 27 1998
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STATUS
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approved
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