%I #12 Apr 05 2018 09:51:47
%S 1,121,631,2059,6399,19483,58807,176859,531103,1593931,4782519,
%T 14348395,43046143,129139515,387419767,1162260667,3486783519,
%U 10460352235,31381058551,94143177675,282429535231,847288608091,2541865826871
%N Number of arrangements of n+3 numbers in 0..2 with each number being the sum mod 3 of three others.
%C Column 2 of A183892.
%H R. H. Hardin, <a href="/A183885/b183885.txt">Table of n, a(n) for n = 1..62</a>
%F Empirical (for n>=3): 3^(n+3)  2*(n+4)^2.  _Vaclav Kotesovec_, Nov 27 2012
%F Conjectures from _Colin Barker_, Apr 05 2018: (Start)
%F G.f.: x*(1 + 115*x  83*x^2  285*x^3 + 410*x^4  150*x^5) / ((1  x)^3*(1  3*x)).
%F a(n) = 6*a(n1)  12*a(n2) + 10*a(n3)  3*a(n4) for n>6.
%F (End)
%e Some solutions for n=4:
%e ..0....2....2....2....2....1....2....0....2....1....2....1....0....0....2....2
%e ..0....1....0....2....2....2....0....1....1....2....1....2....1....2....2....1
%e ..1....1....2....0....1....0....2....1....1....2....2....1....1....0....0....1
%e ..2....0....1....0....1....1....2....1....2....1....0....0....2....2....2....1
%e ..1....1....1....1....1....0....1....0....1....2....2....0....0....2....0....0
%e ..2....1....0....1....1....1....2....2....1....1....2....1....0....2....2....1
%e ..0....0....2....2....0....0....1....0....0....1....2....2....0....1....0....1
%Y Cf. A183892.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 07 2011
