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%I #4 Dec 25 2017 08:34:37
%S 7,30,136,687,3616,19277,105494,581688,3225186,17948354,100058851,
%T 558389806,3118093632,17417381192,97310221239,543726785528,
%U 3038286542630,16978187469678,94877263906414,530197383094190,2962890508719593
%N Number of nX3 0..1 arrays with no 1 adjacent to 2 king-move neighboring 1s.
%C Column 3 of A297085.
%H R. H. Hardin, <a href="/A297080/b297080.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +7*a(n-2) -a(n-3) -84*a(n-4) -148*a(n-5) -38*a(n-6) +123*a(n-7) +535*a(n-8) +532*a(n-9) +210*a(n-10) -52*a(n-11) -279*a(n-12) -638*a(n-13) -307*a(n-14) -75*a(n-15) -a(n-16) -2*a(n-17)
%e Some solutions for n=5
%e ..0..1..0. .0..1..1. .1..0..0. .1..1..0. .1..1..0. .0..1..0. .0..0..0
%e ..0..1..0. .0..1..1. .0..0..0. .1..1..0. .1..1..1. .0..1..0. .0..1..0
%e ..1..1..1. .1..0..0. .0..0..0. .0..0..0. .0..0..1. .1..1..1. .0..0..0
%e ..0..1..1. .1..1..1. .0..0..1. .1..0..0. .1..1..1. .1..1..0. .0..0..0
%e ..1..0..0. .0..1..1. .0..0..1. .0..1..0. .1..1..0. .0..0..1. .1..1..0
%Y Cf. A297085.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 25 2017
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