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%I #4 Aug 04 2018 20:07:33
%S 3,9,14,33,92,220,593,1787,5401,16954,55199,182686,613262,2081449,
%T 7111645,24412407,84069938,290115461,1002577520,3467926870,
%U 12002906321,41560738593,143945514141,498643272858,1727563137885,5985662474410
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A317697.
%H R. H. Hardin, <a href="/A317692/b317692.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -6*a(n-2) +16*a(n-3) -60*a(n-4) +43*a(n-5) -36*a(n-6) +156*a(n-7) -49*a(n-8) -12*a(n-9) -91*a(n-10) +28*a(n-11) -94*a(n-12) -121*a(n-13) +362*a(n-14) -148*a(n-15) -28*a(n-16) +16*a(n-17) for n>19
%e Some solutions for n=5
%e ..0..0..1. .0..0..0. .0..0..1. .0..1..1. .0..0..1. .0..1..1. .0..0..0
%e ..0..1..1. .0..1..0. .0..0..0. .0..0..1. .0..1..1. .1..1..1. .0..0..1
%e ..1..1..1. .0..0..0. .0..1..1. .1..1..1. .1..1..1. .1..1..1. .0..1..1
%e ..1..1..1. .0..0..0. .0..0..0. .1..0..0. .1..1..1. .1..0..1. .1..1..1
%e ..1..1..1. .0..0..0. .0..0..1. .1..1..0. .0..1..1. .1..1..1. .1..1..1
%Y Cf. A317697.
%K nonn
%O 1,1
%A _R. H. Hardin_, Aug 04 2018
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