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%I #4 Feb 18 2018 10:12:15
%S 4,32,220,1578,11303,81105,582032,4177161,29979239,215160247,
%T 1544201029,11082704750,79540390044,570860083491,4097053535956,
%U 29404486634726,211035522699946,1514598516808216,10870248941079889,78015599995840787
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299740.
%H R. H. Hardin, <a href="/A299735/b299735.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) -4*a(n-2) -13*a(n-3) -6*a(n-4) +5*a(n-5) +23*a(n-6) -20*a(n-7) -12*a(n-8)
%e Some solutions for n=5
%e ..0..1..1. .0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..1..0. .0..0..0
%e ..0..0..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .0..0..0. .1..1..1
%e ..1..1..1. .0..0..0. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..1
%e ..1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1
%e ..1..1..1. .0..0..0. .0..1..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1
%Y Cf. A299740.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 18 2018
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