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%I #3 Mar 31 2012 12:35:35
%S 225,14414,454001,10521134,204261981,3522663974
%N Number of nX6 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner
%e Some solutions for n=3
%e ...1.1.1.2.2.2...1.1.1.2.2.2...1.1.1.2.2.2...1.3.2.2.2.2...1.1.2.2.2.2
%e ...1.1.3.4.2.2...3.1.3.2.4.2...3.3.3.2.4.4...1.3.3.2.4.2...1.3.3.4.4.4
%e ...3.3.3.4.4.4...3.3.3.4.4.4...3.3.3.3.4.4...3.3.3.4.4.4...3.3.3.4.4.4
%e ------
%e ...1.1.2.2.2.2...1.3.2.2.2.2...1.1.1.2.2.2...1.1.2.2.2.2...1.1.2.2.2.2
%e ...3.1.3.2.2.2...1.3.3.4.4.4...1.1.3.4.4.4...1.3.3.4.4.2...1.1.1.2.2.2
%e ...3.3.3.3.4.4...3.3.3.4.4.4...3.3.3.3.4.4...3.3.3.3.4.4...3.3.3.3.2.4
%K nonn
%O 2,1
%A _R. H. Hardin_ Aug 24 2009