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%I #7 Feb 25 2018 08:39:08
%S 2,14,122,938,6734,45938,302402,1939154,12192302,75508538,462161714,
%T 2802600938,16870221902,100950439394,601202522882,3566576610338,
%U 21091803794894,124410954720938,732300042558002,4302980995610234
%N Number of n X 2 0..2 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.
%C Column 2 of A267911.
%H R. H. Hardin, <a href="/A267906/b267906.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 14*a(n-1) - 60*a(n-2) + 50*a(n-3) + 145*a(n-4) - 80*a(n-5) - 84*a(n-6) + 16*a(n-7).
%F Empirical g.f.: 2*x*(1 - 7*x + 23*x^2 - 15*x^3 - 34*x^4 - 14*x^5 + 4*x^6) / ((1 - x)*(1 + x)*(1 - 4*x)*(1 - 6*x + x^2)*(1 - 4*x - 4*x^2)). - _Colin Barker_, Feb 25 2018
%e Some solutions for n=6:
%e ..0..1....0..1....0..1....0..1....0..0....0..1....0..1....0..0....0..1....0..1
%e ..0..2....2..2....1..1....0..0....1..1....1..0....2..0....1..2....2..2....2..2
%e ..1..0....1..0....1..1....2..2....0..0....2..0....2..1....2..0....2..0....0..1
%e ..2..1....0..0....0..2....1..1....1..1....2..0....2..2....1..0....1..2....1..2
%e ..0..1....2..0....2..1....2..0....2..0....1..2....0..0....0..2....2..2....1..1
%e ..0..1....0..2....1..1....1..2....0..1....2..1....2..2....1..0....2..1....0..1
%Y Cf. A267911.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 22 2016
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