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%I #5 Mar 31 2012 12:36:06
%S 512,3984,3984,31204,59907,31204,244558,906615,906615,244558,1916364,
%T 13730715,26628581,13730715,1916364,15016660,207885695,782510382,
%U 782510382,207885695,15016660,117671951,3147544633,22986441710
%N T(n,k)=Number of (n+2)X(k+2) binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock
%C Table starts
%C .........512............3984.............31204.............244558
%C ........3984...........59907............906615...........13730715
%C .......31204..........906615..........26628581..........782510382
%C ......244558........13730715.........782510382........44618824642
%C .....1916364.......207885695.......22986441710......2543130767720
%C ....15016660......3147544633......675297305236....144968185692408
%C ...117671951.....47657171957....19839195220290...8263791225579948
%C ...922087441....721577251158...582841090096150.471067696528736345
%C ..7225552800..10925394777419.17122871714488347
%C .56620029719.165421364939032
%H R. H. Hardin, <a href="/A186806/b186806.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for 5X4
%e ..0..0..0..0....0..0..1..0....1..0..0..1....1..0..0..0....1..0..0..0
%e ..1..0..0..1....1..0..0..0....0..0..0..0....0..0..0..1....1..0..0..1
%e ..0..0..1..1....0..1..1..0....1..0..1..0....1..0..1..0....0..1..1..1
%e ..1..1..0..0....0..0..1..0....1..0..1..1....1..1..0..1....0..0..0..0
%e ..1..1..0..0....1..0..1..0....0..1..0..1....1..1..0..0....1..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 26 2011
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