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Number of 4 X n 0..2 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).
1

%I #6 Oct 31 2023 19:04:45

%S 27,315,22759,1082472,57946241,3045772177,161165375484,8510466003024,

%T 449802159184815,23769502516799752,1256186406659826887,

%U 66386821714438890236,3508433902346555039384,185414720721697789745915

%N Number of 4 X n 0..2 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).

%C Row 4 of A231908.

%H R. H. Hardin, <a href="/A231911/b231911.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%Y Cf. A231908.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2013