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

%I #6 Dec 18 2015 18:17:49

%S 1,5,66,2573,331406,135820428,178698032203,752158409985973,

%T 10105549470186567265

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

%C Diagonal of A197167

%e Some solutions for n=4

%e ..0..0..0..1....1..2..0..0....0..0..0..0....0..0..0..1....1..2..1..1

%e ..2..1..1..2....0..1..0..0....0..0..1..0....1..0..0..2....0..0..1..2

%e ..1..0..0..0....1..0..0..0....1..1..2..0....2..1..0..1....0..0..1..0

%e ..1..2..1..0....2..1..0..0....2..1..0..0....0..0..0..0....0..0..2..1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 10 2011