%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