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%I #4 May 30 2018 17:04:09
%S 3,9,14,28,63,126,245,505,1037,2088,4230,8613,17472,35423,71929,
%T 146011,296248,601240,1220345,2476606,5026129,10200761,20702551,
%U 42015462,85270560,173057285,351219532,712800109,1446630113,2935938275,5958489786
%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305347.
%H R. H. Hardin, <a href="/A305342/b305342.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +3*a(n-3) +2*a(n-4) +a(n-5) +a(n-6) -a(n-7) -a(n-8) -a(n-9) -a(n-11) -a(n-12)
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..0..1. .0..1..1. .0..1..0. .0..1..1. .0..1..0
%e ..0..0..0. .1..0..0. .0..1..1. .1..1..1. .0..0..0. .1..1..1. .0..0..0
%e ..0..0..0. .0..0..0. .1..1..1. .1..1..1. .0..0..0. .1..1..1. .0..0..0
%e ..0..0..0. .0..0..0. .1..1..1. .0..1..1. .0..0..0. .1..1..0. .0..0..0
%e ..0..0..1. .0..0..1. .1..1..0. .1..1..1. .0..0..1. .1..1..1. .1..0..0
%Y Cf. A305347.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 30 2018
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