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A035884 Coordination sequence for diamond structure D^+_16. (Edges defined by l_1 norm = 1.) 0
1, 0, 512, 0, 44032, 0, 1549824, 0, 30349312, 524288, 391784960, 26738688, 3702064128, 508035072, 27315850752, 5588385792, 164415418368, 42844291072, 834237682176, 253170810880, 3662806408192, 1226904698880 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

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=16.

CROSSREFS

Sequence in context: A069410 A069436 A139303 * A035596 A095843 A095882

Adjacent sequences:  A035881 A035882 A035883 * A035885 A035886 A035887

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 February 17 13:18 EST 2012. Contains 206031 sequences.