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%I #4 Jun 05 2018 18:35:39
%S 4,23,95,390,1626,6818,28530,119266,498890,2087148,8731184,36525814,
%T 152804412,639253506,2674304822,11187927898,46804640008,195807072344,
%U 819158586242,3426949449364,14336642689542,59977347549018
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305593.
%H R. H. Hardin, <a href="/A305588/b305588.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -a(n-2) -3*a(n-3) -29*a(n-4) -14*a(n-5) +22*a(n-6) +95*a(n-7) +40*a(n-8) -70*a(n-9) -84*a(n-10) +13*a(n-11) +57*a(n-12) +4*a(n-13) -28*a(n-14) -26*a(n-15) -8*a(n-16) for n>17
%e Some solutions for n=5
%e ..0..0..1. .0..1..0. .0..0..1. .0..0..0. .0..0..0. .0..0..0. .0..1..1
%e ..0..1..0. .0..0..0. .0..1..1. .0..1..1. .1..1..0. .0..0..1. .1..1..0
%e ..0..1..0. .0..0..0. .1..0..0. .0..1..0. .0..1..1. .1..0..0. .0..0..0
%e ..1..0..0. .1..1..0. .1..1..0. .0..0..0. .0..0..0. .1..1..1. .0..0..0
%e ..1..0..0. .1..1..0. .0..1..0. .0..0..1. .0..0..0. .1..1..0. .1..0..1
%Y Cf. A305593.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 05 2018
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