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

%I #6 Dec 18 2015 18:17:48

%S 1,1,2,7,65,1242,55546,5603265,1280956817,661075536443,

%T 771059112373171,2031433178217758354

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

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

%C Diagonal of A196929

%e Some solutions for n=4

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

%e ..0..4..0..0....0..4..0..0....0..0..4..0....0..0..0..0....0..0..0..0

%e ..0..0..0..0....0..0..4..0....0..0..0..0....0..0..4..0....0..0..0..0

%e ..0..0..0..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 07 2011