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Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 4,3,0,2,2 for x=0,1,2,3,4
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%I #6 Dec 18 2015 18:17:50

%S 1,7,35,927,36877,4706533,1435938748,1096211683589,2097209821463073

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

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

%C Diagonal of A197561

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 16 2011