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%I #4 Nov 03 2013 06:19:14
%S 0,0,0,0,2,0,0,12,12,0,0,62,60,62,0,0,344,1074,1074,344,0,0,1864,
%T 12400,43566,12400,1864,0,0,10162,162288,1444702,1444702,162288,10162,
%U 0,0,55324,2049324,50554618,124446770,50554618,2049324,55324,0,0,301278
%N T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 3 and at least one element with value (x(i,j)-1) mod 3, and upper left element zero
%C Table starts
%C .0.....0........0...........0..............0..................0
%C .0.....2.......12..........62............344...............1864
%C .0....12.......60........1074..........12400.............162288
%C .0....62.....1074.......43566........1444702...........50554618
%C .0...344....12400.....1444702......124446770........11542542126
%C .0..1864...162288....50554618....11542542126......2846678305070
%C .0.10162..2049324..1740086452..1050541512334....688099769580280
%C .0.55324.26149710.60169326764.96084401660280.167200150832484832
%H R. H. Hardin, <a href="/A231031/b231031.txt">Table of n, a(n) for n = 1..127</a>
%F Empirical for column k:
%F k=2: a(n) = 4*a(n-1) +8*a(n-2) -4*a(n-4) +a(n-5)
%F k=3: [order 28]
%e Some solutions for n=3 k=4
%e ..0..1..0..2....0..2..1..0....0..1..1..2....0..1..1..2....0..1..0..1
%e ..2..0..0..1....1..2..1..2....2..0..1..0....2..0..2..0....2..1..2..0
%e ..2..1..2..0....0..2..0..1....1..0..2..1....2..1..2..1....2..0..2..1
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Nov 03 2013
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