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Number of nX4 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
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%I #3 Mar 31 2012 12:35:32

%S 1,8,39,132,389,1095,3107,8790,24449,66724,179212,475169,1247181,

%T 3249223,8420475,21735923,55926076,143501956,367381497,938864371,

%U 2396062211,6108616160,15560958273

%N Number of nX4 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...1.0.0.1...1.1.0.0...1.1.0.1...1.1.1.0...1.1.1.0...1.1.1.1

%e ...1.1.1.1...1.1.1.1...0.1.1.1...0.1.1.1...0.0.1.1...1.0.1.1...0.0.0.1

%e ------

%e ...1.1.1.1

%e ...1.0.0.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 03 2009