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%I #5 Mar 31 2012 12:37:21
%S 2,4,4,6,16,6,10,36,36,9,16,100,72,81,12,26,256,240,144,144,16,42,676,
%T 704,576,216,256,20,68,1764,2080,1936,1008,324,400,25,110,4624,6216,
%U 6400,3696,1764,432,625,30,178,12100,18496,21904,12960,7056,2688,576,900,36
%N 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 1 vertically
%C Table starts
%C ..2...4...6...10....16....26.....42......68.....110......178.......288
%C ..4..16..36..100...256...676...1764....4624...12100....31684.....82944
%C ..6..36..72..240...704..2080...6216...18496...55000...163760....487296
%C ..9..81.144..576..1936..6400..21904...73984..250000...846400...2862864
%C .12.144.216.1008..3696.12960..48840..179520..657000..2423280...8913456
%C .16.256.324.1764..7056.26244.108900..435600.1726596..6937956..27751824
%C .20.400.432.2688.11424.44064.198000..844800.3542544.15213984..64859616
%C .25.625.576.4096.18496.73984.360000.1638400.7268416.33362176.151585344
%H R. H. Hardin, <a href="/A208069/b208069.txt">Table of n, a(n) for n = 1..766</a>
%e Some solutions for n=4 k=3
%e ..0..0..1....0..1..0....1..1..0....1..1..0....0..1..0....1..1..0....1..0..0
%e ..0..1..1....1..0..1....1..0..1....1..1..0....0..0..1....1..1..0....0..0..1
%e ..0..0..1....0..1..0....1..0..0....1..1..0....0..1..0....1..0..0....1..0..0
%e ..0..1..0....1..0..0....0..0..1....1..1..0....0..0..1....1..1..0....0..0..1
%Y Column 1 is A002620(n+2)
%Y Column 2 is A030179(n+2)
%Y Row 1 is A006355(n+2)
%Y Row 2 is A206981
%Y Row 3 is A207840
%Y Row 4 is A207924
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Feb 23 2012