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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
11

%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