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

%I #4 Nov 05 2013 18:31:53

%S 1,4,21,182,4298,117178,5930126,495739986

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

%C Diagonal of A231227

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 05 2013