%I #5 Mar 31 2012 12:37:20
%S 2,4,4,6,16,6,9,36,36,9,13,81,82,81,14,19,169,221,177,196,22,28,361,
%T 493,575,408,484,35,41,784,1095,1360,1673,942,1225,56,60,1681,2654,
%U 3106,4387,4881,2233,3136,90,88,3600,6203,8652,10207,14225,14825,5348,8100,145,129
%N T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically
%C Table starts
%C ..2....4....6.....9.....13.....19......28.......41.......60........88.......129
%C ..4...16...36....81....169....361.....784.....1681.....3600......7744.....16641
%C ..6...36...82...221....493...1095....2654.....6203....14182.....33242.....77781
%C ..9...81..177...575...1360...3106....8652....22114....53620....139806....360132
%C .14..196..408..1673...4387..10207...33976....97989...250976....751786...2196861
%C .22..484..942..4881..14225..33631..138552...452415..1213630...4316538..14467167
%C .35.1225.2233.14825..49586.119278..618202..2332602..6535778..28238814.110355600
%C .56.3136.5348.45411.175747.430317.2857532.12501427.36429646.195734448.894867543
%H R. H. Hardin, <a href="/A207885/b207885.txt">Table of n, a(n) for n = 1..578</a>
%e Some solutions for n=4 k=3
%e ..1..1..1....0..1..0....0..1..1....0..0..1....0..1..0....0..0..1....1..0..0
%e ..1..1..1....1..0..0....1..1..0....0..1..1....1..1..1....1..1..0....0..0..1
%e ..1..1..1....0..1..1....0..1..1....0..0..1....0..1..0....0..0..1....1..1..0
%e ..1..1..1....1..0..0....1..1..0....1..1..1....0..1..0....1..0..0....0..0..1
%Y Column 1 is A001611(n+2)
%Y Column 2 is A207436
%Y Column 3 is A207483
%Y Row 1 is A000930(n+3)
%Y Row 2 is A207170
%Y Row 3 is A207763
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 21 2012