%I #5 Mar 31 2012 12:37:12
%S 14,106,106,861,2187,861,7010,46860,46860,7010,56970,1002015,2668146,
%T 1002015,56970,463064,21403411,151490088,151490088,21403411,463064,
%U 3764188,457325164,8593845900,22816914744,8593845900,457325164,3764188
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having no more than three equal edges, and new values 0..2 introduced in row major order
%C Table starts
%C .......14..........106..............861.................7010
%C ......106.........2187............46860..............1002015
%C ......861........46860..........2668146............151490088
%C .....7010......1002015........151490088..........22816914744
%C ....56970.....21403411.......8593845900........3433011146796
%C ...463064....457325164.....487641463195......516680726881281
%C ..3764188...9771502433...27669705981731....77761210840373532
%C .30597928.208781853511.1570026011774797.11703109168740768786
%H R. H. Hardin, <a href="/A206761/b206761.txt">Table of n, a(n) for n = 1..84</a>
%e Some solutions for n=4 k=3
%e ..0..1..2..0....0..0..0..0....0..0..1..1....0..0..0..1....0..1..2..0
%e ..1..2..2..0....0..1..2..1....1..1..2..0....1..1..2..2....1..1..2..1
%e ..0..1..1..2....1..2..2..2....1..2..1..2....1..2..0..2....1..0..1..2
%e ..0..1..2..1....1..2..0..1....0..1..2..1....0..1..0..1....0..1..1..2
%e ..2..2..0..0....1..0..1..1....2..0..0..1....2..1..1..2....0..2..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 12 2012