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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 2,3,1,0,4 for x=0,1,2,3,4
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%I #6 Dec 18 2015 18:17:48

%S 1,1,20,401,35202,7942712,5423213789,10714890351493,61977591097741664,

%T 1045534716234234877628,51543884247862488090471612

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

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

%C Diagonal of A196746

%e Some solutions for n=4

%e ..0..0..0..0....0..0..0..0....0..3..0..0....0..0..0..0....0..3..0..0

%e ..0..0..0..0....0..0..0..3....0..0..0..0....3..0..0..3....0..0..0..0

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

%e ..0..0..3..0....0..0..0..0....0..3..0..0....0..3..0..0....0..0..3..0

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 06 2011