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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
0

%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