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%I #4 May 14 2018 08:47:35
%S 1,8,13,60,217,749,2822,10516,38934,145185,542474,2025645,7568821,
%T 28294956,105785530,395536988,1479072597,5531090102,20684425965,
%U 77354433339,289289280136,1081888995062,4046087436916,15131752735177
%N Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A304551.
%H R. H. Hardin, <a href="/A304546/b304546.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -3*a(n-2) -a(n-3) -18*a(n-4) -24*a(n-5) +44*a(n-6) +42*a(n-7) +52*a(n-8) +31*a(n-9) -132*a(n-10) -80*a(n-11) +48*a(n-12) -31*a(n-13) +13*a(n-14) +17*a(n-15) -82*a(n-16) -39*a(n-17) -2*a(n-19) -a(n-20) for n>21
%e Some solutions for n=5
%e ..0..1..0. .0..0..1. .0..1..1. .0..1..1. .0..1..1. .0..0..0. .0..1..1
%e ..1..1..0. .1..1..0. .1..0..0. .0..1..1. .1..0..0. .0..0..0. .0..1..1
%e ..1..0..1. .0..0..0. .0..1..0. .1..1..1. .1..1..1. .1..1..1. .1..0..0
%e ..0..0..0. .0..1..1. .0..0..1. .1..0..0. .1..0..0. .0..0..0. .1..0..0
%e ..1..0..1. .1..0..0. .1..0..1. .0..1..1. .0..1..1. .0..0..0. .0..1..1
%Y Cf. A304551.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 14 2018
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