%I #9 Apr 17 2018 06:16:26
%S 0,10,28,200,876,4838,23840,124114,628932,3229072,16473124,84299894,
%T 430743744,2202581690,11258708588,57560078392,294250374492,
%U 1504287249286,7690165809760,39313791606722,200979640215060,1027448868120896
%N 1/128 the number of (n+2) X 3 binary arrays with each 3 X 3 subblock trace equal to some horizontal or vertical neighbor 3 X 3 subblock trace.
%C Column 1 of A185993.
%H R. H. Hardin, <a href="/A185985/b185985.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 4*a(n-1) + 7*a(n-2) - 12*a(n-3) + 27*a(n-4).
%F Empirical g.f.: 2*x^2*(5 - 6*x + 9*x^2) / (1 - 4*x - 7*x^2 + 12*x^3 - 27*x^4). - _Colin Barker_, Apr 17 2018
%e Some solutions for 4 X 3:
%e ..0..0..1....0..1..0....1..1..0....1..1..1....0..1..1....1..1..0....1..1..0
%e ..0..0..1....1..1..1....1..1..0....0..0..1....0..0..1....1..0..1....0..0..1
%e ..0..0..1....1..1..1....1..1..1....0..1..1....1..1..1....1..0..0....0..0..0
%e ..0..0..1....0..1..0....0..1..1....0..0..1....1..0..0....0..1..0....1..1..1
%Y Cf. A185993.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 08 2011