A035924 Coordination sequence for diamond structure D^+_96. (Edges defined by l_1 norm = 1.)

1, 0, 18432, 0, 56635392, 0, 69653977088, 0, 45941752946688, 0, 18883048883742720, 0, 5302106181975969792, 0, 1082317427128538560512, 0, 168008295568901851496448, 0, 20520427348116269962201088, 0, 2025569927437217835574947840, 0, 165116986495329690031964854272, 0, 11314954879930777539489769725952, 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=96.

Crossrefs

Sequence in context: A071368 A231142 A251874 * A375908 A209895 A190110

Adjacent sequences: A035921 A035922 A035923 * A035925 A035926 A035927

Keyword

nonn

Author

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

Extensions

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

Odd-indexed terms inserted by Georg Fischer, Jul 26 2020

Status

approved