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Number of nX5 binary arrays with all 1s connected, a path of 1s from left column to right column, and no 1 having more than two 1s adjacent
0

%I #3 Mar 31 2012 12:35:32

%S 1,26,236,1611,9012,42833,184346,750199,2938865,11140954

%N Number of nX5 binary arrays with all 1s connected, a path of 1s from left column to right column, and no 1 having more than two 1s adjacent

%e All solutions for n=2

%e ...1.1.1.1.1...1.1.1.1.1...1.1.1.1.1...1.1.1.1.1...0.0.0.0.0...0.0.0.0.1

%e ...0.0.0.0.0...0.0.0.0.1...1.0.0.0.0...1.0.0.0.1...1.1.1.1.1...1.1.1.1.1

%e ------

%e ...1.0.0.0.0...1.0.0.0.1...1.1.0.0.0...1.1.0.0.1...1.1.1.0.0...1.1.1.0.1

%e ...1.1.1.1.1...1.1.1.1.1...0.1.1.1.1...0.1.1.1.1...0.0.1.1.1...0.0.1.1.1

%e ------

%e ...1.1.1.0.0...1.1.1.0.1...1.1.1.1.0...1.1.1.1.0...0.0.0.1.1...1.0.0.1.1

%e ...1.0.1.1.1...1.0.1.1.1...0.0.0.1.1...1.0.0.1.1...1.1.1.1.0...1.1.1.1.0

%e ------

%e ...0.0.1.1.1...0.0.1.1.1...1.0.1.1.1...1.0.1.1.1...0.1.1.1.1...0.1.1.1.1

%e ...1.1.1.0.0...1.1.1.0.1...1.1.1.0.0...1.1.1.0.1...1.1.0.0.0...1.1.0.0.1

%e ------

%e ...1.1.0.1.1...0.1.1.1.0

%e ...0.1.1.1.0...1.1.0.1.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 03 2009