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

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

%S 1,13,83,389,1561,5808,21608,81280,302869,1103582,3937976,13827871,

%T 47923048,164209208

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

%e All solutions for n=2

%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...1.1.1.0.0

%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...1.0.1.1.1

%e ------

%e ...1.1.1.0.1...1.1.1.0.1...1.1.1.1.0...1.1.1.1.0...1.1.1.1.1...1.1.1.1.1

%e ...0.0.1.1.1...1.0.1.1.1...0.0.0.1.1...1.0.0.1.1...0.0.0.0.1...1.0.0.0.1

%e ------

%e ...1.0.1.1.1

%e ...1.1.1.0.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 03 2009