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%I #4 May 04 2018 11:28:48
%S 1,16,38,103,281,826,2421,7104,20732,61087,179751,529548,1561475,
%T 4603482,13574654,40041939,118101915,348367166,1027637463,3031343374,
%U 8942116280,26378505409,77814052747,229545502386,677142752205,1997520929872
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A304019.
%H R. H. Hardin, <a href="/A304014/b304014.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +4*a(n-2) +3*a(n-3) -13*a(n-4) -20*a(n-5) +6*a(n-6) -21*a(n-7) +23*a(n-8) +63*a(n-9) +36*a(n-10) +14*a(n-11) -55*a(n-12) -43*a(n-13) -7*a(n-14) +26*a(n-15) +25*a(n-16) -6*a(n-17) +4*a(n-18) -4*a(n-20)
%e Some solutions for n=5
%e ..0..1..0. .0..0..1. .0..0..0. .0..0..1. .0..0..1. .0..0..1. .0..1..1
%e ..1..1..0. .0..1..0. .0..1..1. .0..1..1. .0..1..1. .0..1..1. .1..1..0
%e ..0..0..1. .1..1..0. .1..1..0. .0..1..0. .1..1..1. .0..0..1. .0..0..0
%e ..0..1..1. .0..0..1. .1..1..1. .1..0..0. .1..1..0. .1..1..0. .0..0..0
%e ..0..0..1. .1..0..1. .1..0..1. .1..1..1. .0..1..1. .0..1..0. .1..1..1
%Y Cf. A304019.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 04 2018
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