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Number of n X n 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 #6 Dec 18 2015 18:18:46

%S 1,8,656,360966,1454768048,40798265169064,8071247819035667716,

%T 11185076987915709283036466,108785685563255533314439981136006,

%U 7419232013005838043632372688640525508734

%N Number of n X n 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 Diagonal of A231855

%H R. H. Hardin, <a href="/A231849/b231849.txt">Table of n, a(n) for n = 1..11</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 14 2013