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%I #4 Aug 15 2018 13:17:36
%S 4,10,18,41,81,179,404,893,2000,4516,10125,22737,51181,115034,258515,
%T 581380,1307094,2938317,6606445,14853275,33392840,75076165,168791772,
%U 379483956,853176349,1918162541,4312510121,9695613622,21798217755
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A318075.
%H R. H. Hardin, <a href="/A318070/b318070.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -3*a(n-4) -6*a(n-5) +6*a(n-6) for n>10
%e Some solutions for n=5
%e ..0..1..1. .0..0..0. .0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..0..0
%e ..1..0..0. .0..0..0. .0..1..1. .1..1..1. .0..0..0. .0..0..0. .0..0..1
%e ..1..1..0. .0..0..0. .1..1..1. .1..1..1. .0..0..1. .1..1..1. .0..1..1
%e ..0..0..0. .0..1..0. .0..0..0. .1..0..1. .0..1..1. .1..1..1. .1..1..1
%e ..0..0..1. .1..0..0. .0..0..1. .0..1..1. .1..1..0. .1..1..1. .0..0..0
%Y Cf. A318075.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 15 2018
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