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A035882 Coordination sequence for diamond structure D^+_12. (Edges defined by l_1 norm = 1.) 0
1, 0, 288, 0, 14016, 0, 286048, 24576, 3441024, 745472, 28329888, 8945664, 173667392, 65175552, 843477984, 343982080, 3403653888, 1444724736, 11829909024, 5112102912, 36395000256, 15823175680 (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=12.

CROSSREFS

Sequence in context: A158287 A112245 A011817 * A061831 A082994 A127350

Adjacent sequences:  A035879 A035880 A035881 * A035883 A035884 A035885

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 09:41 EST 2012. Contains 206009 sequences.