A035918 Coordination sequence for diamond structure D^+_84. (Edges defined by l_1 norm = 1.)

1, 0, 14112, 0, 33200832, 0, 31270754144, 0, 15800653486464, 0, 4977542380850592, 0, 1071822174138228800, 0, 167907946699820252640, 0, 20019527493762044941056, 0, 1879888501280846931938336, 0, 142817619730269235112367552, 0, 8970769855376398766776261728, 0, 474302047496125216885843184768, 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=84.

Crossrefs

Sequence in context: A253796 A237153 A066698 * A157786 A186834 A263911

Adjacent sequences: A035915 A035916 A035917 * A035919 A035920 A035921

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