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A035903 Coordination sequence for diamond structure D^+_54. (Edges defined by l_1 norm = 1.) 0
1, 5832, 5672592, 2211553368, 463476372768, 60724672249320, 5457607130811312, 358366157766535032, 17998379213837249088, 715924864099841086728, 23183082546450209810640, 624911460076695388372632 (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=54.

CROSSREFS

Sequence in context: A104284 A131494 A147859 * A114771 A013809 A013888

Adjacent sequences:  A035900 A035901 A035902 * A035904 A035905 A035906

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 22:37 EST 2012. Contains 205679 sequences.