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Majority value maps: number of 3 X n binary arrays indicating the locations of corresponding elements equal to at least half of their horizontal, diagonal and antidiagonal neighbors in a random 0..3 3 X n array.
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%I #5 Apr 18 2023 08:44:07

%S 1,35,324,2899,23895,193052,1550909,12392103,98844849,787498031,

%T 6270246085,49907638031,397162497929,3160272329316,25145272816990,

%U 200066755560852,1591791510072767,12664659002993396

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

%C Row 3 of A220993.

%e Some solutions for n=3

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

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

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

%Y Cf. A220993.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 28 2012