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Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:25

%S 17,123,178,865,2781,7486,24615,85533,266059,866323,2817802,9024682,

%T 29161693,94823673,306912929,992919095,3216924395,10417479713,

%U 33734415945,109304966265,354134153161,1147139951832,3716343382506

%N Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4

%C Every 0 is next to 0 3's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 2's

%C Column 7 of A196146

%H R. H. Hardin, <a href="/A196145/b196145.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for n=4

%e .1.0.0.1.1.0.0...1.3.1.0.0.0.1...1.0.0.1.1.0.1

%e .3.1.1.1.1.1.1...0.1.1.0.0.0.1...3.1.1.3.3.1.1

%e .1.1.1.0.0.1.1...0.1.1.1.1.1.1...1.1.1.1.1.1.0

%e .0.0.1.1.1.1.0...1.1.0.1.3.1.0...0.0.0.0.0.1.1

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 28 2011