%I #4 Jun 03 2018 13:17:08
%S 1,2,5,6,8,19,33,60,107,204,375,677,1253,2329,4252,7824,14454,26591,
%T 48908,90088,165947,305495,562342,1035675,1907146,3511035,6465055,
%U 11904935,21919763,40360338,74316988,136840634,251963379,463940762
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305516.
%H R. H. Hardin, <a href="/A305511/b305511.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-2) +4*a(n-3) +3*a(n-4) -4*a(n-6) -5*a(n-7) -a(n-8) -3*a(n-9) -2*a(n-10) for n>13
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..1..0. .0..1..0. .0..0..0. .0..0..0. .0..1..0
%e ..0..1..0. .0..1..0. .0..0..0. .0..0..0. .1..0..1. .0..1..0. .0..0..0
%e ..0..0..0. .1..0..1. .0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0
%e ..0..1..0. .1..1..1. .0..1..0. .1..0..1. .0..0..0. .0..0..0. .1..0..1
%e ..0..0..0. .1..0..1. .0..0..0. .1..1..1. .0..1..0. .0..1..0. .0..0..0
%Y Cf. A305516.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jun 03 2018
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