login
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
OFFSET
0,3
LINKS
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
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
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