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%I #4 Feb 11 2018 06:12:33
%S 1,1,12,5,33,55,132,272,630,1355,3010,6661,14688,32563,71941,159408,
%T 352601,781046,1728906,3829080,8478988,18778735,41589469,92113712,
%U 204020792,451891357,1000927728,2217056520,4910855519,10877806629
%N Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299521.
%H R. H. Hardin, <a href="/A299516/b299516.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +a(n-2) -6*a(n-3) -a(n-4) +2*a(n-6) +4*a(n-7) -a(n-8) +8*a(n-9) -3*a(n-10) -a(n-11) -a(n-12) for n>13
%e Some solutions for n=5
%e ..0..0..1. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0
%e ..0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .1..1..1
%e ..1..0..1. .0..1..0. .0..0..0. .1..0..1. .1..0..1. .0..0..0. .1..1..1
%e ..0..0..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .1..1..1
%e ..0..0..1. .1..1..0. .1..1..1. .1..0..0. .0..0..1. .0..0..0. .0..1..0
%Y Cf. A299521.
%K nonn
%O 1,3
%A _R. H. Hardin_, Feb 11 2018
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