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A035912 Coordination sequence for diamond structure D^+_72. (Edges defined by l_1 norm = 1.) 0
1, 10368, 17922816, 12407366016, 4610216314368, 1068744800817792, 169506887987474688, 19580193687475702656, 1723599538143585831936, 119669709626799156403328, 6733021714697626592585472, 313769325989254807329936768 (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=72.

CROSSREFS

Sequence in context: A097695 A031803 A180460 * A104439 A031866 A157445

Adjacent sequences:  A035909 A035910 A035911 * A035913 A035914 A035915

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 17:56 EST 2012. Contains 205654 sequences.