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%I #4 May 11 2018 14:13:34
%S 4,14,27,71,225,613,1752,5102,14673,42235,122016,352304,1016793,
%T 2936025,8478588,24482962,70700917,204172771,589619638,1702740928,
%U 4917307073,14200615673,41009800440,118431859204,342018606381,987713762163
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A304347.
%H R. H. Hardin, <a href="/A304342/b304342.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) -11*a(n-4) -25*a(n-5) -27*a(n-6) +19*a(n-7) +61*a(n-8) +59*a(n-9) -39*a(n-11) -13*a(n-12) -14*a(n-13) -20*a(n-14) -24*a(n-15) for n>16
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..1..0
%e ..1..0..0. .1..0..1. .0..0..0. .0..0..0. .0..0..0. .0..0..1. .1..0..0
%e ..1..0..0. .1..0..1. .0..0..0. .1..0..0. .0..0..0. .0..0..0. .0..0..0
%e ..1..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
%e ..1..1..0. .0..0..0. .1..1..0. .0..0..0. .1..1..0. .0..1..0. .1..1..0
%Y Cf. A304347.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 11 2018
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