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%I A304539 #4 May 14 2018 08:39:41
%S A304539 3,7,9,19,37,65,129,275,555,1143,2417,5101,10937,23873,52511,116647,
%T A304539 261813,592025,1347981,3088537,7111583,16443119,38153839,88783305,
%U A304539 207079559,483922933,1132625887,2654229335,6226282429,14617442181
%N A304539 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C A304539 Column 3 of A304544.
%H A304539 R. H. Hardin, <a href="/A304539/b304539.txt">Table of n, a(n) for n = 1..210</a>
%F A304539 Empirical: a(n) = 3*a(n-1) -a(n-2) +2*a(n-3) -8*a(n-4) +2*a(n-5) -a(n-6) -a(n-7) -9*a(n-8) +3*a(n-9) +9*a(n-10) +8*a(n-11) +a(n-12) -3*a(n-13)
%e A304539 Some solutions for n=5
%e A304539 ..0..0..0. .0..1..1. .0..0..1. .0..1..1. .0..1..1. .0..0..1. .0..0..0
%e A304539 ..1..0..0. .1..1..1. .0..0..0. .1..1..1. .0..0..1. .0..1..1. .0..0..1
%e A304539 ..1..1..0. .0..0..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..1..1
%e A304539 ..0..0..0. .0..1..1. .0..0..0. .1..1..1. .1..0..0. .1..1..1. .1..1..1
%e A304539 ..1..0..0. .1..1..1. .0..0..1. .1..1..0. .1..1..0. .0..1..1. .1..1..1
%Y A304539 Cf. A304544.
%K A304539 nonn
%O A304539 1,1
%A A304539 _R. H. Hardin_, May 14 2018

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