A035892 Coordination sequence for diamond structure D^+_32. (Edges defined by l_1 norm = 1.)

1, 0, 2048, 0, 700416, 0, 96376832, 0, 7172939776, 0, 336604997632, 0, 10951050137600, 0, 263584490403840, 0, 4921913935446016, 68719476736, 73938443596679168, 12850542149632, 919638329955807232

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, 32, 0, -496, 0, 4960, 0, -35960, 0, 201376, 0, -906192, 0, 3365856, 0, -10518300, 0, 28048800, 0, -64512240, 0, 129024480, 0, -225792840, 0, 347373600, 0, -471435600, 0, 565722720, 0, -601080390, 0, 565722720, 0, -471435600, 0, 347373600, 0, -225792840, 0, 129024480, 0, -64512240, 0, 28048800, 0, -10518300, 0, 3365856, 0, -906192, 0, 201376, 0, -35960, 0, 4960, 0, -496, 0, 32, 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=32.

Crossrefs

Sequence in context: A289476 A353409 A222526 * A069272 A234881 A220584

Adjacent sequences: A035889 A035890 A035891 * A035893 A035894 A035895

Keyword

nonn

Author

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

Extensions

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

Status

approved