A035905 Coordination sequence for diamond structure D^+_58. (Edges defined by l_1 norm = 1.)

1, 0, 6728, 0, 7548816, 0, 3393946328, 0, 819877766944, 0, 123745300449128, 0, 12801566604046000, 0, 966654502323949560, 0, 55767643765799259712, 0, 2544965525082339968136, 0, 94418486754360593452496, 0, 2911600798615988008635672, 0, 76009554628261194904548704, 0, 1705960467700830531128119720, 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=58.

Crossrefs

Sequence in context: A031580 A028543 A145320 * A099778 A049507 A064160

Adjacent sequences: A035902 A035903 A035904 * A035906 A035907 A035908

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