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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
10

%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