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Number of (6+1) X (n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.
0

%I #5 Apr 11 2022 18:07:24

%S 44,52,2061,15732,217846,3002376,35510853,491895476,6459555901,

%T 84084715248,1151100835544,15191630623683,204807017142122,

%U 2771424868862979,37176070355827412,504666221181017744

%N Number of (6+1) X (n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order.

%C Row 6 of A231396.

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A231396.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2013