%I #3 Mar 31 2012 12:35:35
%S 33,670,6549,45892,265155,1347918,6257643,27154502,111837041,
%T 441803872,1686870551,6260508940,22683215853,80510078988,280693737065,
%U 963421173780,3261335507803,10905208348554
%N Number of nX4 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, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value
%e Some solutions for n=3
%e ...1.1.2.2...1.1.2.2...1.1.1.2...1.3.4.2...1.1.1.2...1.1.2.2...1.1.2.2
%e ...1.1.3.4...1.4.4.4...3.4.1.1...3.3.4.4...3.3.4.4...3.3.3.2...3.1.2.2
%e ...3.3.3.4...3.4.4.4...3.4.4.4...3.3.3.4...3.4.4.4...3.4.4.4...3.1.1.4
%e ------
%e ...1.4.4.2...1.4.2.2...1.2.2.2...1.2.2.2...1.1.1.2...1.1.2.2...1.1.2.2
%e ...1.1.4.4...3.4.4.4...1.1.2.4...1.2.2.4...1.3.1.4...3.1.2.2...2.2.2.4
%e ...3.3.4.4...3.3.4.4...3.3.4.4...3.4.4.4...3.3.4.4...3.1.2.4...3.4.4.4
%K nonn
%O 2,1
%A _R. H. Hardin_ Aug 24 2009