A035899 Coordination sequence for diamond structure D^+_46. (Edges defined by l_1 norm = 1.)

1, 0, 4232, 0, 2987792, 0, 846141848, 0, 128975126048, 0, 12312430500520, 0, 808072815510832, 0, 38851092934042552, 0, 1433080081936088128, 0, 42010353222033261768, 0, 1006338265202317013840, 0, 20147944043360020434392, 35184372088832, 343501353331500571867744, 38034306228027392

Offset

0,3

Links

Ray Chandler, Table of n, a(n) for n = 0..1000 (first 200 terms from Georg Fischer)

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, 46, 0, -1035, 0, 15180, 0, -163185, 0, 1370754, 0, -9366819, 0, 53524680, 0, -260932815, 0, 1101716330, 0, -4076350421, 0, 13340783196, 0, -38910617655, 0, 101766230790, 0, -239877544005, 0, 511738760544, 0, -991493848554, 0, 1749695026860, 0, -2818953098830, 0, 4154246671960, 0, -5608233007146, 0, 6943526580276, 0, -7890371113950, 0, 8233430727600, 0, -7890371113950, 0, 6943526580276, 0, -5608233007146, 0, 4154246671960, 0, -2818953098830, 0, 1749695026860, 0, -991493848554, 0, 511738760544, 0, -239877544005, 0, 101766230790, 0, -38910617655, 0, 13340783196, 0, -4076350421, 0, 1101716330, 0, -260932815, 0, 53524680, 0, -9366819, 0, 1370754, 0, -163185, 0, 15180, 0, -1035, 0, 46, 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=46.

Crossrefs

Sequence in context: A345580 A345837 A210092 * A035783 A108007 A254880

Adjacent sequences: A035896 A035897 A035898 * A035900 A035901 A035902

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