%I #8 Mar 18 2018 06:59:23
%S 1,17,74,315,1343,5734,24495,104655,447152,1910521,8162971,34877432,
%T 149018667,636702899,2720401314,11623291351,49662121961,212188293616,
%U 906603869753,3873590586251,16550452221246,70714099135861
%N Number of n X 2 0..2 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions).
%C Column 2 of A231785.
%H R. H. Hardin, <a href="/A231779/b231779.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n1) 8*a(n2) +2*a(n3) +3*a(n4) a(n5) for n>6.
%F Empirical g.f.: x*(1 + 11*x  20*x^2 + 5*x^3 + 8*x^4  2*x^5) / (1  6*x + 8*x^2  2*x^3  3*x^4 + x^5).  _Colin Barker_, Mar 18 2018
%e Some solutions for n=7:
%e ..0..2....0..1....0..1....0..0....0..0....0..1....0..0....0..2....0..0....0..1
%e ..0..2....0..1....0..0....0..0....1..1....0..2....0..0....2..2....1..0....0..1
%e ..2..2....2..1....1..2....2..2....2..1....2..2....1..2....2..2....2..2....0..1
%e ..2..0....1..1....0..2....2..2....0..0....2..0....0..2....2..2....2..2....0..1
%e ..1..0....1..1....2..2....0..1....0..0....2..1....0..2....0..0....0..0....2..1
%e ..0..0....0..2....2..2....2..1....1..0....0..0....1..2....1..0....0..0....2..0
%e ..2..2....0..2....0..2....2..1....1..2....1..0....1..2....2..0....2..2....1..0
%Y Cf. A231785.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 13 2013
