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

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

%S 1,5,81,4837,1108699,982926107,3148323076125,37516007592943532,

%T 1657994465210882573048

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

%C Every 0 is next to 0 2's, every 1 is next to 1 1'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 A197450

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 15 2011