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Number of (n+1)X(n+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order
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%I #5 Mar 31 2012 12:37:06

%S 15,1750,1080457,2423004172,21200252524407

%N Number of (n+1)X(n+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order

%C Diagonal of A205352

%e Some solutions for n=4

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

%e ..3..0..2..3..3....0..0..2..3..3....2..0..0..0..2....3..0..0..1..0

%e ..0..2..2..0..0....1..2..0..3..0....0..3..3..1..3....2..0..0..1..3

%e ..0..0..3..2..1....0..1..0..3..1....1..3..3..1..0....3..2..1..3..3

%e ..0..0..3..0..2....2..1..0..2..3....3..0..1..0..0....3..0..2..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 26 2012