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Number of (n+2)X(n+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order
0

%I #4 Nov 09 2013 06:19:06

%S 1,4,21,182,4450,133646,7859324

%N Number of (n+2)X(n+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order

%C Diagonal of A231441

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 09 2013