A035919 Coordination sequence for diamond structure D^+_86. (Edges defined by l_1 norm = 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

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).

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

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