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A035892 Coordination sequence for diamond structure D^+_32. (Edges defined by l_1 norm = 1.) 0
1, 0, 2048, 0, 700416, 0, 96376832, 0, 7172939776, 0, 336604997632, 0, 10951050137600, 0, 263584490403840, 0, 4921913935446016, 68719476736, 73938443596679168, 12850542149632, 919638329955807232 (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

Table of n, a(n) for n=0..20.

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=32.

CROSSREFS

Sequence in context: A236373 A289476 A222526 * A069272 A234881 A220584

Adjacent sequences:  A035889 A035890 A035891 * A035893 A035894 A035895

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

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

STATUS

approved

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Last modified September 26 16:43 EDT 2020. Contains 337374 sequences. (Running on oeis4.)