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Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,3 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:28

%S 3,47,588,7073,82408,977946,11746093,140398339,1673987573,19978425920,

%T 238603437585,2848944091708,34010711969738,406045052968057,

%U 4847874016932633,57879103635687885,691015526016683752

%N Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,3 for x=0,1,2,3,4

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

%C Column 4 of A197207

%H R. H. Hardin, <a href="/A197203/b197203.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

%e ..1..2..1..0....0..0..0..0....0..1..2..1....0..0..3..0....0..0..2..1

%e ..1..2..1..1....1..2..1..0....0..1..2..1....1..0..0..3....0..3..1..0

%e ..0..0..1..2....0..0..0..0....3..0..0..0....2..1..0..0....3..0..0..0

%e ..2..1..1..0....3..0..0..3....0..3..1..0....0..3..0..1....0..1..1..0

%e ..1..0..2..1....0..0..3..0....0..0..2..1....0..0..1..2....1..2..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 11 2011