A035902 Coordination sequence for diamond structure D^+_52. (Edges defined by l_1 norm = 1.)

1, 0, 5408, 0, 4878016, 0, 1763889504, 0, 342948774272, 0, 41701747803040, 0, 3480013344595008, 0, 212293851572113376, 0, 9911860859743707904, 0, 366787510164531304992, 0, 11058305237821938399680, 0, 277765870809660966979168, 0, 5921283575038332646294656, 0, 108808265072142686985320608, 117093590311632896

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=52.

Crossrefs

Sequence in context: A378769 A190106 A252572 * A203711 A105654 A124410

Adjacent sequences: A035899 A035900 A035901 * A035903 A035904 A035905

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