A163725 - OEIS

A163725

Number of nX4 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

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

%S 1,16,108,531,2119,7338,23330,70369,204461,576824,1589880,4304373,

%T 11495305,30376964,79611466,207289163,536963245

%N Number of nX4 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...0.0.0.0...0.0.0.1...1.0.0.0

%e ...0.0.0.0...0.0.0.1...1.0.0.0...1.0.0.1...1.1.1.1...1.1.1.1...1.1.1.1

%e ------

%e ...1.0.0.1...1.1.0.0...1.1.0.1...1.1.1.0...1.1.1.0...0.0.1.1...1.0.1.1

%e ...1.1.1.1...0.1.1.1...0.1.1.1...0.0.1.1...1.0.1.1...1.1.1.0...1.1.1.0

%e ------

%e ...0.1.1.1...0.1.1.1

%e ...1.1.0.0...1.1.0.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Aug 03 2009