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%I #8 Oct 20 2018 15:01:02
%S 14,69,358,1844,9522,49108,253476,1307604,6748036,34815556,179654284,
%T 926952404,4783063596,24679485652,127343933580,657071270292,
%U 3390407179468,17493950046676,90266392976908,465760736729108
%N Number of (n+1) X (1+1) 0..2 arrays colored with the sets of distinct values in every 2 X 2 subblock, with new values 0..2 introduced row-major order.
%H R. H. Hardin, <a href="/A236157/b236157.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) + 18*a(n-2) + 16*a(n-3) + 12*a(n-4) - 12*a(n-5) for n>6.
%F Empirical g.f.: x*(14 + 55*x + 37*x^2 + 20*x^3 - 38*x^4 + 6*x^5) / (1 - x - 18*x^2 - 16*x^3 - 12*x^4 + 12*x^5). - _Colin Barker_, Oct 20 2018
%e Some solutions for n=5:
%e ..0..1....0..1....0..1....0..0....0..1....0..1....0..0....0..1....0..1....0..1
%e ..0..1....1..1....2..0....0..0....2..0....2..1....1..1....2..2....2..0....1..1
%e ..1..2....2..1....0..2....1..0....0..2....1..1....2..0....2..2....0..0....2..0
%e ..2..1....0..2....1..2....2..1....1..1....1..1....2..0....2..1....1..0....0..0
%e ..0..2....2..2....2..2....1..1....2..2....2..0....0..1....0..1....1..2....0..0
%e ..2..2....2..2....2..2....1..1....2..2....0..2....1..1....1..0....2..1....1..1
%Y Column 1 of A236164.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 19 2014
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