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%I #4 Dec 25 2017 09:48:06
%S 8,45,228,1256,6859,37423,204625,1118722,6116809,33447020,182892241,
%T 1000087412,5468684870,29903969555,163521690265,894174288809,
%U 4889552732983,26737214978212,146205342087568,799485028137183
%N Number of nX3 0..1 arrays with no 1 adjacent to 3 king-move neighboring 1s.
%C Column 3 of A297094.
%H R. H. Hardin, <a href="/A297089/b297089.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -5*a(n-2) -8*a(n-3) -68*a(n-4) +25*a(n-5) +130*a(n-6) +313*a(n-7) +85*a(n-8) -496*a(n-9) -742*a(n-10) -574*a(n-11) +520*a(n-12) +745*a(n-13) +736*a(n-14) -60*a(n-15) -150*a(n-16) -45*a(n-17) -9*a(n-18) -a(n-19)
%e Some solutions for n=6
%e ..1..0..1. .1..0..0. .1..1..0. .1..0..0. .1..0..1. .0..1..1. .1..1..0
%e ..0..0..1. .1..0..1. .1..0..0. .0..0..1. .1..1..0. .1..0..0. .1..0..0
%e ..0..0..1. .0..0..1. .0..0..0. .1..0..0. .1..1..1. .1..0..1. .0..0..0
%e ..1..0..1. .0..0..1. .0..1..0. .0..0..1. .1..0..0. .1..0..0. .0..0..1
%e ..1..0..0. .1..0..0. .0..0..1. .0..0..1. .0..0..1. .1..0..0. .0..0..0
%e ..0..1..0. .0..1..0. .1..0..1. .1..0..1. .1..0..1. .0..1..0. .1..1..1
%Y Cf. A297094.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 25 2017
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