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A035909 Coordination sequence for diamond structure D^+_66. (Edges defined by l_1 norm = 1.) +0
1
1, 8712, 12655632, 7363888664, 2300684695584, 448681205484072, 59904484213281840, 5829554227763981880, 432708304259607621696, 25358927904615986491976, 1205707495877530248973392, 47541429981663923354785368 (list; graph; listen)
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=66.

CROSSREFS

Sequence in context: A031591 A031771 A031877 this_sequence A031852 A115614 A165630

Adjacent sequences: A035906 A035907 A035908 this_sequence A035910 A035911 A035912

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 November 27 14:50 EST 2009. Contains 167570 sequences.


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