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%I #4 Jun 08 2018 08:03:44
%S 1,8,25,139,818,4869,29339,177688,1078090,6547420,39780381,241739361,
%T 1469140840,8928868485,54267151921,329823144348,2004595773274,
%U 12183532071766,74049126308943,450056268717553,2735355386324434
%N Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305685.
%H R. H. Hardin, <a href="/A305680/b305680.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -3*a(n-2) -6*a(n-3) -61*a(n-4) -4*a(n-5) +53*a(n-6) +92*a(n-7) +78*a(n-8) -9*a(n-9) -8*a(n-10) -2*a(n-11) +8*a(n-12) +10*a(n-13) +2*a(n-14) for n>16
%e Some solutions for n=5
%e ..0..0..1. .0..1..0. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..1..1
%e ..1..1..0. .0..1..0. .1..1..0. .1..1..0. .1..0..1. .0..0..1. .0..1..1
%e ..1..1..1. .0..1..1. .0..0..0. .1..0..1. .1..1..1. .1..1..0. .1..0..0
%e ..0..0..1. .0..1..0. .0..0..1. .0..0..1. .0..0..0. .0..0..1. .1..1..1
%e ..1..0..1. .0..1..0. .0..0..1. .1..1..0. .1..0..1. .0..0..1. .0..0..0
%Y Cf. A305685.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jun 08 2018
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