A035893 Coordination sequence for diamond structure D^+_34. (Edges defined by l_1 norm = 1.)

1, 0, 2312, 0, 892432, 0, 138504984, 0, 11614313504, 0, 613171117352, 0, 22402282117680, 0, 604244840324920, 0, 12614155679414336, 8589934592, 211305560531644744, 5111011082240, 2922614819105183312

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, 34, 0, -561, 0, 5984, 0, -46376, 0, 278256, 0, -1344904, 0, 5379616, 0, -18156204, 0, 52451256, 0, -131128140, 0, 286097760, 0, -548354040, 0, 927983760, 0, -1391975640, 0, 1855967520, 0, -2203961430, 0, 2333606220, 0, -2203961430, 0, 1855967520, 0, -1391975640, 0, 927983760, 0, -548354040, 0, 286097760, 0, -131128140, 0, 52451256, 0, -18156204, 0, 5379616, 0, -1344904, 0, 278256, 0, -46376, 0, 5984, 0, -561, 0, 34, 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=34.

Crossrefs

Sequence in context: A261210 A020435 A288798 * A260049 A184025 A251436

Adjacent sequences: A035890 A035891 A035892 * A035894 A035895 A035896

Keyword

nonn

Author

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

Extensions

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

Status

approved