%I
%S 153,2755,49235,880781,15754461,281803871,5040682279,90163722073,
%T 1612776998193,28848073268443,516011408652059,9230001997285733,
%U 165098940527912805,2953158641948611223,52823754874667184367
%N 1/3 the number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having at least two equal elements connected horizontally or vertically.
%C Column 2 of A184376.
%H R. H. Hardin, <a href="/A184369/b184369.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 17*a(n1) + 19*a(n2)  57*a(n3) + 18*a(n4).
%F Empirical g.f.: x*(153 + 154*x  507*x^2 + 162*x^3) / (1  17*x  19*x^2 + 57*x^3  18*x^4).  _Colin Barker_, Feb 27 2018
%e Some solutions for 5 X 3 with a(1,1)=0:
%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0
%e ..1..0..2....1..2..2....0..1..0....0..2..2....1..1..1....0..2..0....1..1..0
%e ..1..2..2....0..2..0....1..1..1....1..1..2....1..2..0....1..2..0....1..0..0
%e ..1..2..2....1..1..0....2..1..2....2..1..2....1..1..1....1..2..0....2..2..2
%e ..1..1..1....2..2..2....0..1..0....0..0..0....0..2..0....0..2..1....0..2..0
%Y Cf. A184376.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 12 2011
