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Majority value maps: number of 7 X n binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..3 7 X n array.
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%I #5 Nov 22 2023 21:20:16

%S 1,1897,495329,68933905,10385011060,1381866811158,184428463987187

%N Majority value maps: number of 7 X n binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal and antidiagonal neighbors in a random 0..3 7 X n array.

%C Row 7 of A221499.

%e Some solutions for n=3

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

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

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

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

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

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

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

%Y Cf. A221499.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 18 2013