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%I #5 Mar 31 2012 12:37:14
%S 3,9,9,23,81,23,61,529,529,61,161,3721,7891,3721,161,425,25921,130165,
%T 130165,25921,425,1121,180625,2113177,5174065,2113177,180625,1121,
%U 2957,1256641,34303001,201211481,201211481,34303001,1256641,2957,7801,8743849
%N T(n,k)=Number of nXk 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row or column
%C Table starts
%C ....3.......9.........23.............61...............161..................425
%C ....9......81........529...........3721.............25921...............180625
%C ...23.....529.......7891.........130165...........2113177.............34303001
%C ...61....3721.....130165........5174065.........201211481...........7825530345
%C ..161...25921....2113177......201211481.......18649387825........1728683700481
%C ..425..180625...34303001.....7825530345.....1728683700481......381916401448593
%C .1121.1256641..555815721...303753655993...159875651653873....84153991018875649
%C .2957.8743849.9009608765.11797040231217.14795926235823289.18557751920452764329
%H R. H. Hardin, <a href="/A207015/b207015.txt">Table of n, a(n) for n = 1..112</a>
%e Some solutions for n=4 k=3
%e ..2..0..1....1..2..2....2..0..2....2..0..1....1..2..2....1..0..2....2..1..0
%e ..2..0..2....0..0..1....1..1..1....2..0..2....1..1..1....2..0..2....0..1..1
%e ..2..0..2....2..2..0....1..1..0....1..0..2....1..0..0....0..2..2....1..0..2
%e ..2..0..1....1..2..2....1..2..2....1..2..2....2..2..2....2..0..2....1..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 14 2012
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