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

%S 1,1,16,129,4273,217880,23946130,5094296927,2171426372387,

%T 1837082082523359,3094534584891471987,10360619358796873163844,

%U 68989834793646571143250669,913590557002024874434691467840

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

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

%C Diagonal of A196646

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Oct 04 2011