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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 4,2,1,0,3 for x=0,1,2,3,4
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%I #6 Dec 18 2015 18:17:49

%S 1,5,100,7073,1890344,1989885480,7876891407951,117490890045317733

%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 4,2,1,0,3 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 Diagonal of A197207

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 11 2011