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%I #4 May 23 2018 16:12:36
%S 0,5,14,73,387,2000,10487,54957,287218,1503959,7869877,41184270,
%T 215540219,1127976673,5903110936,30893060733,161673863609,
%U 846095754528,4427911443157,23172791974003,121271244926878,634654381325531
%N Number of nX3 0..1 arrays with every element unequal to 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305022.
%H R. H. Hardin, <a href="/A305017/b305017.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +14*a(n-2) +6*a(n-3) -79*a(n-4) -104*a(n-5) +77*a(n-6) +181*a(n-7) +65*a(n-8) -51*a(n-9) -5*a(n-10) +49*a(n-11) +5*a(n-12) -18*a(n-13) -2*a(n-14) +4*a(n-15) for n>16
%e Some solutions for n=5
%e ..0..1..0. .0..0..0. .0..1..0. .0..1..0. .0..1..1. .0..0..1. .0..1..0
%e ..0..1..1. .1..1..1. .0..1..1. .0..1..1. .1..0..0. .1..1..0. .1..0..1
%e ..1..0..0. .1..0..0. .0..0..1. .0..0..1. .1..0..1. .1..1..1. .0..0..1
%e ..0..0..1. .0..1..0. .1..1..0. .1..0..1. .0..1..1. .0..0..0. .0..1..1
%e ..1..0..1. .1..0..1. .0..1..0. .0..1..0. .0..1..0. .1..0..1. .0..1..0
%Y Cf. A305022.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 23 2018
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