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A035915 Coordination sequence for diamond structure D^+_78. (Edges defined by l_1 norm = 1.) 1
1, 0, 12168, 0, 24684816, 0, 20050650776, 0, 8739210543648, 0, 2375502273471912, 0, 441550716354149168, 0, 59738920517881797816, 0, 6154813102726791038016, 0, 499745917657668459264968, 0, 32852573414724334471351632, 0, 1787037602269852702724731608, 0, 81893843128627116973312755296, 0 (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..200

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=78.

CROSSREFS

Sequence in context: A013819 A227297 A013908 * A104791 A338950 A204873

Adjacent sequences:  A035912 A035913 A035914 * A035916 A035917 A035918

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 26 2020

STATUS

approved

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Last modified January 23 10:45 EST 2022. Contains 350510 sequences. (Running on oeis4.)