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Number of 7Xn 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)
1

%I #4 Nov 14 2013 14:00:52

%S 729,121393,83630516,42745416641,24762957054535,14071005227913420,

%T 8071247819035667716,4623688984630307777029,2650518736546491335942949,

%U 1519287155417179539434532388,870900295165528458057167384178

%N Number of 7Xn 0..2 arrays with no element having a strict majority of its horizontal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)

%C Row 7 of A231855

%H R. H. Hardin, <a href="/A231861/b231861.txt">Table of n, a(n) for n = 1..30</a>

%e Some solutions for n=2

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 14 2013