%I #4 Aug 06 2018 12:10:50
%S 3,4,5,11,16,28,44,74,122,209,344,584,981,1670,2806,4758,8047,13665,
%T 23111,39195,66419,112700,190989,323943,549302,931821,1580102,2680148,
%U 4545629,7710521,13077362,22181756,37623572,63817667,108244170,183603356
%N Number of nX3 0..1 arrays with every element unequal to 0, 1 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A317773.
%H R. H. Hardin, <a href="/A317768/b317768.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +6*a(n-4) -2*a(n-5) -11*a(n-8) -3*a(n-9) +6*a(n-12) +4*a(n-13) -a(n-16) -a(n-17) for n>23
%e Some solutions for n=5
%e ..0..0..0. .0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..1..0. .0..0..0
%e ..0..0..0. .0..0..0. .0..0..1. .1..0..0. .1..0..1. .0..1..1. .0..0..0
%e ..0..0..0. .0..0..0. .0..0..0. .1..1..0. .1..0..1. .1..0..0. .0..0..0
%e ..0..0..0. .0..0..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0. .1..0..0
%e ..0..0..0. .0..0..0. .0..1..1. .1..1..1. .0..0..0. .0..0..0. .1..1..0
%Y Cf. A317773.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 06 2018