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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 3,3,0,1,2 for x=0,1,2,3,4.
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%I #9 May 08 2014 01:48:27

%S 1,7,51,1165,80519,12594359,5423217685,5925057763939,16185578398527540

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

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

%C Diagonal of A198013.

%e Some solutions for n=4:

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 20 2011