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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 3,2,1,1,1 for x=0,1,2,3,4
1

%I #5 Mar 31 2012 12:36:30

%S 3,43,338,3021,25962,221082,1924263,16672219,144064579,1245052112,

%T 10769305267,93170128818,805820664778,6968541278217,60268080303023,

%U 521264825241735,4508358297890862,38991305275498893,337224718195909596

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

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

%C Column 4 of A197782

%H R. H. Hardin, <a href="/A197778/b197778.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions containing all values 0 to 4 for n=5

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

%e ..2..1..4..1....2..1..4..1....0..2..2..1....2..1..1..0....1..4..1..2

%e ..0..0..1..3....0..1..1..0....0..1..1..3....1..4..1..2....3..1..1..1

%e ..1..2..2..1....1..2..2..1....2..1..4..1....3..1..1..1....1..2..2..1

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 18 2011