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

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

%S 1,1,32,161,7485,509018,79831388,27751402365,20901475723923,

%T 34381589920722561,123453405715147118697

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

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

%C Diagonal of A197373

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 14 2011