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%I #8 Oct 01 2018 09:35:23
%S 3,34,656,12404,234336,4426924,83630516,1579892344,29846280396,
%T 563836173564,10651619780176,201223350436284,3801378343993156,
%U 71813123491132504,1356645994919661436,25628858153744306924
%N Number of n X 3 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).
%H R. H. Hardin, <a href="/A231850/b231850.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n-1) - 41*a(n-2) + 22*a(n-3) for n>4.
%F Empirical g.f.: x*(3 - 29*x + 65*x^2 - 44*x^3) / (1 - 21*x + 41*x^2 - 22*x^3). - _Colin Barker_, Oct 01 2018
%e Some solutions for n=5:
%e ..0..0..1....0..0..1....0..0..1....0..0..2....0..0..2....0..0..0....0..0..0
%e ..0..2..2....0..1..2....0..1..2....0..2..1....0..2..2....1..1..0....1..2..2
%e ..0..2..2....0..2..0....0..2..1....0..1..1....2..0..1....0..2..2....0..2..2
%e ..0..1..2....2..0..1....2..0..1....2..0..2....1..1..0....1..0..0....2..0..1
%e ..0..0..1....1..2..2....2..2..2....2..2..0....1..0..0....1..0..0....0..2..2
%Y Column 3 of A231855.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 14 2013
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