A035895 Coordination sequence for diamond structure D^+_38. (Edges defined by l_1 norm = 1.)

1, 0, 2888, 0, 1392016, 0, 269493720, 0, 28142347040, 0, 1846012202088, 0, 83558656596144, 0, 2782948528883448, 0, 71467464065517120, 0, 1466676453767667080, 137438953472, 24743400982621475792

Offset

0,3

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

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.

Index entries for linear recurrences with constant coefficients, signature (0, 38, 0, -703, 0, 8436, 0, -73815, 0, 501942, 0, -2760681, 0, 12620256, 0, -48903492, 0, 163011640, 0, -472733756, 0, 1203322288, 0, -2707475148, 0, 5414950296, 0, -9669554100, 0, 15471286560, 0, -22239974430, 0, 28781143380, 0, -33578000610, 0, 35345263800, 0, -33578000610, 0, 28781143380, 0, -22239974430, 0, 15471286560, 0, -9669554100, 0, 5414950296, 0, -2707475148, 0, 1203322288, 0, -472733756, 0, 163011640, 0, -48903492, 0, 12620256, 0, -2760681, 0, 501942, 0, -73815, 0, 8436, 0, -703, 0, 38, 0, -1).

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=38.

Crossrefs

Sequence in context: A259403 A241529 A185502 * A035775 A107571 A072016

Adjacent sequences: A035892 A035893 A035894 * A035896 A035897 A035898

Keyword

nonn

Author

Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

Extensions

Recomputed by N. J. A. Sloane, Nov 27 1998

Status

approved