%I #4 Feb 18 2018 10:29:38
%S 4,26,95,375,1524,6170,24838,100272,405068,1635673,6604612,26671526,
%T 107707761,434951162,1756450581,7093044669,28643701145,115671273734,
%U 467113069416,1886333772206,7617545385889,30761787301998,124224736350037
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299753.
%H R. H. Hardin, <a href="/A299748/b299748.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -9*a(n-2) +10*a(n-3) -25*a(n-4) -2*a(n-5) +47*a(n-6) -23*a(n-7) +74*a(n-8) -148*a(n-9) +86*a(n-10) -32*a(n-11) +100*a(n-12) -14*a(n-13) -28*a(n-14) -10*a(n-15) -19*a(n-16) -9*a(n-17) +4*a(n-18) for n>19
%e Some solutions for n=5
%e ..0..0..1. .0..0..1. .0..0..1. .0..1..0. .0..0..0. .0..1..1. .0..0..1
%e ..0..0..1. .0..1..0. .1..0..1. .0..1..0. .0..1..1. .0..1..0. .1..1..1
%e ..0..0..1. .0..1..0. .1..0..1. .0..0..0. .0..1..1. .0..0..1. .0..0..0
%e ..1..1..1. .1..0..0. .1..1..1. .0..1..0. .0..1..1. .0..1..0. .1..1..0
%e ..0..0..0. .0..1..0. .0..1..0. .1..0..1. .0..0..0. .1..0..0. .0..1..0
%Y Cf. A299753.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 18 2018