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%I #4 Apr 29 2018 10:53:20
%S 13,13,24,76,169,343,741,1618,3451,7390,15924,34201,73387,157681,
%T 338754,727483,1562542,3356380,7209057,15484111,33258613,71436250,
%U 153437331,329568094,707879620,1520453233,3265779603,7014566209,15066579706
%N Number of nX6 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.
%C Column 6 of A303719.
%H R. H. Hardin, <a href="/A303717/b303717.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) -a(n-5) -a(n-6) for n>9
%e Some solutions for n=5
%e ..0..1..0..0..0..0. .0..0..0..1..0..0. .0..1..0..0..1..0. .0..0..0..0..1..0
%e ..0..0..0..0..0..1. .0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0
%e ..0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..0..0
%e ..0..0..0..0..0..0. .1..0..0..0..0..1. .0..0..0..0..0..0. .1..0..0..0..0..0
%e ..0..1..0..0..0..0. .0..0..0..0..0..0. .0..0..0..0..1..0. .0..0..0..0..0..0
%Y Cf. A303719.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 29 2018