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A035898 Coordination sequence for diamond structure D^+_44. (Edges defined by l_1 norm = 1.) 1
1, 0, 3872, 0, 2501312, 0, 648339296, 0, 90488748416, 0, 7914446636448, 0, 476256430985280, 0, 21013302552438240, 0, 712041389847515904, 0, 19196735036095030304, 0, 423435066223344657856, 0, 7816588585484214789216, 387028092977152, 123043988694170338503808 (list; graph; refs; listen; history; text; 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

Georg Fischer, Table of n, a(n) for n = 0..199

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).

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=44.

CROSSREFS

Sequence in context: A204791 A204784 A204783 * A249203 A249325 A249218

Adjacent sequences:  A035895 A035896 A035897 * A035899 A035900 A035901

KEYWORD

nonn

AUTHOR

Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

EXTENSIONS

Recomputed by N. J. A. Sloane, Nov 27 1998

Zeroes inserted by Georg Fischer, Jul 25 2020

STATUS

approved

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Last modified September 19 02:20 EDT 2021. Contains 347550 sequences. (Running on oeis4.)