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A035919 Coordination sequence for diamond structure D^+_86. (Edges defined by l_1 norm = 1.) 1
1, 0, 14792, 0, 36477072, 0, 36010162520, 0, 19069940181280, 0, 6295606113770728, 0, 1420507268612532656, 0, 233146706655610223736, 0, 29119100331561118798400, 0, 2863789159379953441861640, 0, 227816193344959389026441936, 0, 14980493079438827125762543512, 0, 828964387249656093121206745952, 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=86.

CROSSREFS

Sequence in context: A015375 A043648 A272128 * A234417 A251332 A186790

Adjacent sequences:  A035916 A035917 A035918 * A035920 A035921 A035922

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 December 6 03:33 EST 2021. Contains 349562 sequences. (Running on oeis4.)