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Number of n X 4 0..2 arrays with no element having a strict majority of its horizontal, vertical, 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 Dec 28 2023 23:18:09

%S 8,124,5110,193596,7176194,266730604,9902703284,367678630271,

%T 13651615789060,506869469707295,18819548834677196,698750427030584024,

%U 25943883731772910738,963269692028936919099,35765211805260137301887

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

%C Column 4 of A231641.

%H R. H. Hardin, <a href="/A231638/b231638.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A231641.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 12 2013