%I #9 Sep 02 2013 02:50:23
%S 2,8,34,140,574,2348,9598,39224,160282,654944,2676202,10935332,
%T 44683222,182581508,746051878,3048465200,12456425842,50898577976,
%U 207978216754,849826072316,3472499977390,14189087019740,57978456949582
%N Number of nX3 binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally.
%C Column 3 of A228660
%H R. H. Hardin, <a href="/A228655/b228655.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -3*a(n-2) -3*a(n-3).
%F Empirical: G.f. -2*x*(-1+x) / ( 1-5*x+3*x^2+3*x^3 ). - _R. J. Mathar_, Aug 29 2013
%e Some solutions for n=4
%e ..1..0..0....1..0..1....1..0..1....1..0..0....1..0..1....1..0..0....1..0..1
%e ..1..0..0....0..0..0....1..0..1....0..0..0....1..0..0....1..0..0....1..0..0
%e ..0..0..1....0..0..0....0..0..0....0..1..0....1..0..1....1..0..0....1..0..0
%e ..0..0..1....1..0..0....0..0..1....0..1..0....0..0..0....1..0..1....0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Aug 29 2013