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

%I #6 Dec 18 2015 18:17:49

%S 1,5,41,969,92206,22335117,16686610707,35396160304609,

%T 218937410204781995,3910004408912399352584

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

%C Diagonal of A197180

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 11 2011