%I #3 Mar 31 2012 12:35:32
%S 1,11,63,259,896,2821,8515,24940,70944,196626,534162,1430008,3786133,
%T 9937397,25902833,67151065,173338487,445930356,1144130515,2929289696,
%U 7487194973
%N Number of nX4 binary arrays with all 1s connected, a path of 1s from left column to lower right corner, and no 1 having more than two 1s adjacent
%e All solutions for n=2
%e ...0.0.0.0...0.0.0.1...1.0.0.0...1.0.0.1...1.1.0.0...1.1.0.1...1.1.1.0
%e ...1.1.1.1...1.1.1.1...1.1.1.1...1.1.1.1...0.1.1.1...0.1.1.1...0.0.1.1
%e ------
%e ...1.1.1.0...1.1.1.1...1.1.1.1...0.1.1.1
%e ...1.0.1.1...0.0.0.1...1.0.0.1...1.1.0.1
%K nonn
%O 1,2
%A _R. H. Hardin_ Aug 03 2009