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A207774 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically.

%I A207774 #7 Jul 22 2025 20:49:46
%S A207774 2,4,4,6,16,6,10,36,36,9,16,100,84,81,14,26,256,292,192,196,21,42,676,
%T A207774 912,828,450,441,31,68,1764,2812,3130,2514,972,961,46,110,4624,8928,
%U A207774 11230,11950,7164,2040,2116,68,178,12100,28152,43260,49122,43264,20104
%N A207774 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically.
%C A207774 Table starts
%C A207774 ..2....4....6....10.....16......26.......42........68........110.........178
%C A207774 ..4...16...36...100....256.....676.....1764......4624......12100.......31684
%C A207774 ..6...36...84...292....912....2812.....8928.....28152......87972......277292
%C A207774 ..9...81..192...828...3130...11230....43260....163710.....604340.....2295512
%C A207774 .14..196..450..2514..11950...49122...240346...1128862....4877154....23327018
%C A207774 .21..441..972..7164..43264..195160..1246206...7381202...35627804...220514498
%C A207774 .31..961.2040.20104.157472..759482..6513576..49975640..259077468..2150453548
%C A207774 .46.2116.4278.57458.597090.3023026.35632160.364308938.1972417684.22562076620
%H A207774 R. H. Hardin, <a href="/A207774/b207774.txt">Table of n, a(n) for n = 1..513</a>
%e A207774 Some solutions for n=4 k=3
%e A207774 ..0..1..1....1..1..0....1..0..0....1..1..0....0..1..0....0..0..1....1..1..0
%e A207774 ..1..1..0....1..1..0....0..1..1....1..1..0....1..0..0....1..1..0....0..0..1
%e A207774 ..1..1..0....1..1..0....0..1..1....0..1..0....1..1..0....1..1..0....0..1..1
%e A207774 ..1..0..0....1..1..0....0..0..1....0..1..0....0..1..0....0..1..0....0..1..1
%Y A207774 Column 1 is A038718(n+2)
%Y A207774 Column 2 is A207069
%Y A207774 Row 1 is A006355(n+2)
%Y A207774 Row 2 is A206981
%Y A207774 Row 3 is A207341
%Y A207774 Row 4 is A207342
%K A207774 nonn,tabl
%O A207774 1,1
%A A207774 _R. H. Hardin_ Feb 20 2012