%I #6 Nov 23 2014 16:24:21

%S 10,34,124,456,1686,6232,23034,85130,314626,1162804,4297528,15882942,

%T 58700688,216947890,801802986,2963329250,10951967500,40476633544,

%U 149594843398,552877431048,2043342182250,7551849721642,27910368960066

%N Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal

%C Column 2 of A232589

%H R. H. Hardin, <a href="/A232583/b232583.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -a(n-2) -a(n-3) +2*a(n-4).

%F Empirical: G.f.: -2*x*(5-3*x-x^2+2*x^3) / ( -1+4*x-x^2-x^3+2*x^4 ). - _R. J. Mathar_, Nov 23 2014

%e Some solutions for n=7

%e ..0..1..2....2..1..2....0..1..2....0..1..2....2..1..2....0..1..0....2..1..0

%e ..0..1..2....0..1..2....2..1..0....0..1..0....0..1..0....2..1..2....2..1..2

%e ..0..1..0....2..1..0....0..1..2....2..1..2....2..1..2....2..1..0....0..1..2

%e ..2..1..2....2..1..0....0..1..2....0..1..2....2..1..0....0..1..0....2..1..2

%e ..0..1..0....0..1..0....2..1..2....2..1..0....2..1..0....2..1..2....0..1..0

%e ..2..1..2....2..1..0....0..1..0....0..1..2....0..1..2....2..1..0....0..1..2

%e ..2..1..2....0..1..2....2..1..0....0..1..0....2..1..0....0..1..2....0..1..2

%e ..0..1..0....0..1..0....2..1..0....2..1..0....2..1..0....0..1..2....0..1..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2013