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Number of nX4 binary arrays with all 1s connected, a path of 1s from top row to lower right corner, and no 1 having more than two 1s adjacent
0

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

%S 4,21,80,259,775,2223,6336,17796,48912,131828,350506,923197,2413779,

%T 6272766,16221462,41787691,107324054,274986699,703245913,1795790220,

%U 4580304063,11671650321,29720454413

%N Number of nX4 binary arrays with all 1s connected, a path of 1s from top row to lower right corner, and no 1 having more than two 1s adjacent

%e All solutions for n=2

%e ...0.0.0.1...0.0.0.1...0.0.1.1...0.0.1.1...0.1.1.1...0.0.1.0...0.1.1.0

%e ...0.0.0.1...0.0.1.1...0.0.0.1...0.0.1.1...0.0.0.1...0.0.1.1...0.0.1.1

%e ------

%e ...1.1.1.0...0.1.1.1...1.1.1.1...1.1.1.0...0.1.1.1...1.1.1.1...0.0.0.1

%e ...0.0.1.1...0.1.0.1...0.0.0.1...1.0.1.1...1.1.0.1...1.0.0.1...0.1.1.1

%e ------

%e ...0.1.0.0...0.1.0.1...1.1.0.0...1.1.0.1...0.0.0.1...1.0.0.0...1.0.0.1

%e ...0.1.1.1...0.1.1.1...0.1.1.1...0.1.1.1...1.1.1.1...1.1.1.1...1.1.1.1

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 03 2009