%I #4 Feb 20 2018 08:35:28
%S 4,26,93,357,1401,5533,21764,85620,336966,1326498,5221450,20553311,
%T 80905473,318477196,1253655191,4934896919,19425767155,76467769656,
%U 301008432722,1184892401453,4664221539453,18360285559608,72273600906104
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299852.
%H R. H. Hardin, <a href="/A299847/b299847.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -9*a(n-2) +3*a(n-3) +7*a(n-4) -31*a(n-5) +52*a(n-6) -51*a(n-7) +53*a(n-8) -100*a(n-9) +53*a(n-10) +65*a(n-11) +7*a(n-12) -48*a(n-13) -26*a(n-14) +18*a(n-15) +12*a(n-16) for n>18
%e Some solutions for n=5
%e ..0..1..0. .0..0..0. .0..0..1. .0..0..0. .0..1..0. .0..1..0. .0..1..1
%e ..1..0..0. .0..1..1. .1..1..0. .0..0..0. .1..0..0. .0..0..1. .0..0..1
%e ..0..0..1. .0..1..0. .1..0..0. .0..0..0. .0..0..1. .1..0..0. .1..1..0
%e ..1..1..1. .0..1..0. .1..0..1. .1..1..1. .0..1..0. .0..1..0. .1..1..1
%e ..0..0..0. .1..1..0. .0..0..0. .0..1..0. .0..1..0. .1..1..0. .0..0..1
%Y Cf. A299852.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 20 2018