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%I #4 Apr 30 2018 17:19:15
%S 3,7,9,15,27,47,83,161,321,641,1293,2665,5603,11957,25767,55917,
%T 122063,267835,590085,1303845,2886875,6401619,14212171,31580661,
%U 70221799,156218863,347655099,773886975,1723025065,3836799089,8544630497
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 3 or 4 king-move adjacent elements, with upper left element zero.
%C Column 3 of A303808.
%H R. H. Hardin, <a href="/A303803/b303803.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -a(n-2) -3*a(n-3) +6*a(n-4) -5*a(n-5) -2*a(n-6) -a(n-7) -6*a(n-8) +4*a(n-9) +2*a(n-10)
%e Some solutions for n=5
%e ..0..0..1. .0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..1
%e ..0..0..0. .0..1..1. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0
%e ..0..0..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0
%e ..0..0..1. .1..1..1. .0..1..1. .0..0..0. .0..0..0. .0..0..1. .0..0..0
%e ..0..1..1. .0..1..1. .0..0..1. .0..0..0. .0..0..1. .0..1..1. .1..0..0
%Y Cf. A303808.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 30 2018
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