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A035926 Coordination sequence for diamond structure D^+_100. (Edges defined by l_1 norm = 1.) 0
1, 20000, 66680000, 88977788000, 63669939056000, 28388261970800800, 8645481416595304000, 1913769409906455052000, 322081772124335598304000, 42639787126552298702388000, 4560880160205473732557707200 (list; graph; refs; listen; history; internal format)
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=100.

CROSSREFS

Sequence in context: A203045 A206009 A090072 * A186565 A186480 A204864

Adjacent sequences:  A035923 A035924 A035925 * A035927 A035928 A035929

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 14 00:26 EST 2012. Contains 205567 sequences.