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%I #4 Jun 26 2018 17:39:39
%S 4,23,78,271,982,3619,13454,50193,187620,702063,2628392,9842791,
%T 36863984,138074989,517180630,1937210511,7256297572,27180361021,
%U 101811374934,381362390785,1428498083084,5350835309773,20043038849204,75076770609471
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A316209.
%H R. H. Hardin, <a href="/A316204/b316204.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +2*a(n-2) -9*a(n-3) -10*a(n-4) +7*a(n-5) +8*a(n-6) -9*a(n-7) -3*a(n-8) +23*a(n-9) +18*a(n-10) -8*a(n-11) -4*a(n-12) +2*a(n-13) -2*a(n-14) -14*a(n-15) -8*a(n-16)
%e Some solutions for n=5
%e ..0..0..0. .0..0..1. .0..1..0. .0..0..1. .0..1..1. .0..1..0. .0..1..1
%e ..0..0..0. .0..1..0. .1..1..1. .1..0..0. .0..0..1. .1..1..1. .0..0..1
%e ..1..1..0. .1..1..0. .0..1..1. .0..0..0. .1..1..0. .0..1..1. .0..0..0
%e ..1..0..1. .1..0..0. .1..1..1. .0..0..0. .1..0..0. .1..1..0. .0..0..1
%e ..0..1..0. .1..0..1. .1..0..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0
%Y Cf. A316209.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 26 2018
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