%I #5 Mar 31 2012 12:37:17
%S 2,4,4,6,16,6,9,36,36,9,13,81,82,81,14,18,169,217,177,196,22,25,324,
%T 499,530,408,484,35,34,625,1014,1322,1459,942,1225,56,46,1156,2141,
%U 2749,4041,3947,2233,3136,90,62,2116,4188,6217,8808,12151,11306,5348,8100,145,83
%N T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 1 0 vertically
%C Table starts
%C ..2....4....6.....9.....13.....18.....25......34......46.......62.......83
%C ..4...16...36....81....169....324....625....1156....2116.....3844.....6889
%C ..6...36...82...217....499...1014...2141....4188....8150....15670....29517
%C ..9...81..177...530...1322...2749...6217...12712...25908....52474...103704
%C .14..196..408..1459...4041...8808..21991...48044..105558...230156...490287
%C .22..484..942..3947..12151..26980..73325..170276..397692...935992..2150515
%C .35.1225.2233.11306..39050..89417.268275..667760.1691526..4324858.10910668
%C .56.3136.5348.32445.126411.292136.959855.2555724.6929562.19404152.53733153
%H R. H. Hardin, <a href="/A207488/b207488.txt">Table of n, a(n) for n = 1..577</a>
%e Some solutions for n=4 k=3
%e ..1..1..1....0..1..0....0..0..1....1..0..1....0..1..0....0..0..1....0..1..0
%e ..1..1..1....0..0..1....0..0..1....1..0..1....1..1..0....0..1..0....0..0..1
%e ..1..1..1....1..1..0....1..0..1....1..0..1....0..1..0....0..0..1....1..0..0
%e ..1..1..1....0..0..1....0..0..1....1..0..1....1..1..1....0..1..0....0..0..1
%Y Column 1 is A001611(n+2)
%Y Column 2 is A207436
%Y Row 1 is A171861(n+1)
%Y Row 2 is A207025
%Y Row 3 is A207270
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 18 2012