%I #4 Jul 14 2018 15:14:08
%S 4,30,169,983,5701,33046,191692,1111756,6447926,37397230,216897344,
%T 1257968840,7296014816,42315682206,245424008900,1423418944526,
%U 8255595991972,47881100579920,277702517408082,1610628979299244
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A316822.
%H R. H. Hardin, <a href="/A316817/b316817.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +4*a(n-2) +9*a(n-3) -34*a(n-4) +20*a(n-5) -5*a(n-6) +4*a(n-7) -24*a(n-8) -34*a(n-9) -16*a(n-10) -8*a(n-11) for n>12
%e Some solutions for n=5
%e ..0..1..0. .0..1..0. .0..0..1. .0..0..0. .0..1..0. .0..1..0. .0..1..0
%e ..0..0..1. .1..1..0. .1..1..1. .1..0..1. .1..0..1. .1..0..1. .1..1..1
%e ..0..0..0. .1..1..0. .1..1..1. .1..0..1. .0..0..0. .1..1..1. .1..1..1
%e ..1..1..1. .1..0..1. .1..0..0. .1..0..1. .0..1..0. .1..1..1. .0..0..0
%e ..1..1..0. .0..1..1. .1..1..0. .1..1..0. .0..1..1. .0..0..0. .1..0..0
%Y Cf. A316822.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 14 2018
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