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%I #8 May 25 2024 20:49:41
%S 1,7,120,7407,1516652,1029024216,2336509457978,17524876527067107,
%T 436288315960458288785
%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 3,2,0,4,1 for x=0,1,2,3,4.
%C Every 0 is next to 0 3's, every 1 is next to 1 2's, every 2 is next to 2 0's, every 3 is next to 3 4's, every 4 is next to 4 1's.
%C Diagonal of A196802.
%e Some solutions for n=4
%e ..2..0..0..0....1..2..0..0....2..0..0..0....0..0..0..1....0..0..2..1
%e ..0..0..0..0....0..0..0..2....0..2..2..0....2..2..0..2....0..0..0..0
%e ..0..0..0..0....2..1..1..1....0..1..1..0....0..2..2..0....1..2..0..2
%e ..2..0..2..1....0..0..2..0....0..0..0..2....2..0..2..0....0..1..0..1
%Y Cf. A196802.
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 06 2011