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%I #12 Jul 14 2018 05:56:14
%S 1,51,762,9405,109194,1239185,13937206,156188077,1747769906,
%T 19546177481,218541500622,2443222239685,27313318510154,
%U 305336555697185,3413345205975206,38157545443338717,426560032707189986
%N Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order.
%C Column 1 of A210086.
%H R. H. Hardin, <a href="/A210079/b210079.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 17*a(n-1) - 71*a(n-2) + 67*a(n-3) - 8*a(n-4) - 4*a(n-5).
%F Empirical g.f.: x*(1 + 34*x - 34*x^2 + 5*x^3 + 2*x^4) / ((1 - x)*(1 - 5*x + 2*x^2)*(1 - 11*x - 2*x^2)). - _Colin Barker_, Jul 14 2018
%e Some solutions for n=4:
%e ..0..0....0..1....0..0....0..0....0..0....0..0....0..0....0..1....0..0....0..0
%e ..1..2....1..2....0..0....0..0....1..2....0..0....0..0....0..2....0..0....1..2
%e ..0..1....2..3....0..0....0..0....3..1....1..2....0..0....2..3....0..0....2..3
%e ..1..3....1..1....1..2....1..2....1..0....1..3....1..2....1..2....1..2....2..1
%e ..3..0....0..3....2..3....3..2....0..2....0..0....3..1....1..3....0..3....1..0
%Y Cf. A210086.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 17 2012
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