A035903 Coordination sequence for diamond structure D^+_54. (Edges defined by l_1 norm = 1.)

1, 0, 5832, 0, 5672592, 0, 2211553368, 0, 463476372768, 0, 60724672249320, 0, 5457607130811312, 0, 358366157766535032, 0, 17998379213837249088, 0, 715924864099841086728, 0, 23183082546450209810640, 0, 624911460076695388372632, 0, 14282870777208889597468512, 0, 281127794895246648022522920, 9007199254740992

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=54.

Crossrefs

Sequence in context: A234804 A261941 A264887 * A251189 A269185 A147859

Adjacent sequences: A035900 A035901 A035902 * A035904 A035905 A035906

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