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

%I #6 Dec 18 2015 18:17:50

%S 1,5,11,131,494,12019,223832,9712913,396593739,39500650780

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

%C Every 0 is next to 0 2'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 Diagonal of A197545

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 16 2011