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%I #9 Mar 04 2018 06:05:06
%S 14,48,175,677,2709,11143,46709,198483,851317,3674723,15929949,
%T 69254347,301652741,1315582371,5742416845,25079258843,109571246421,
%U 478835560339,2092898539805,9148671997707,39994487184037,174849254952131
%N Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock having the same number of equal edges, and new values 0..2 introduced in row major order.
%C Column 1 of A205475.
%H R. H. Hardin, <a href="/A205468/b205468.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) - 21*a(n-2) - 11*a(n-3) + 66*a(n-4) - 6*a(n-5) - 36*a(n-6).
%F Empirical g.f.: x*(14 - 78*x + 37*x^2 + 264*x^3 - 105*x^4 - 180*x^5) / ((1 - x)*(1 - 3*x)*(1 - 2*x - 2*x^2)*(1 - 3*x - 6*x^2)). - _Colin Barker_, Mar 04 2018
%e Some solutions for n=4:
%e ..0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..0....0..1....0..0
%e ..0..1....0..1....0..1....1..1....1..0....0..0....1..2....1..2....0..2....1..2
%e ..0..1....0..0....1..1....2..1....1..1....0..0....1..0....0..2....1..2....0..2
%e ..1..1....1..0....0..0....1..1....2..2....0..0....2..2....0..1....0..0....0..1
%e ..1..2....1..0....1..0....1..2....2..1....0..0....0..1....0..2....2..1....2..2
%Y Cf. A205475.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 27 2012
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