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%I #4 Jul 09 2018 11:24:53
%S 1,11,15,33,117,247,599,1757,4241,10783,29239,74521,192273,508375,
%T 1317567,3422449,8971629,23370303,60880867,159136445,415145389,
%U 1082772235,2827552935,7379387077,19255943685,50269166119,131207698359
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A316648.
%H R. H. Hardin, <a href="/A316643/b316643.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +4*a(n-2) +13*a(n-3) -13*a(n-4) -46*a(n-5) -59*a(n-6) +53*a(n-7) +153*a(n-8) +98*a(n-9) -60*a(n-10) -140*a(n-11) -7*a(n-12) +67*a(n-13) +15*a(n-14) -78*a(n-15) -48*a(n-16) -32*a(n-17)
%e Some solutions for n=5
%e ..0..1..0. .0..1..0. .0..1..1. .0..0..0. .0..0..1. .0..1..1. .0..1..0
%e ..1..0..0. .0..1..0. .1..0..1. .1..1..0. .1..1..1. .0..0..0. .0..1..0
%e ..0..0..0. .0..0..0. .1..1..1. .1..1..0. .0..0..1. .0..0..0. .1..1..1
%e ..0..1..0. .0..1..0. .1..1..0. .0..0..0. .1..1..1. .1..0..1. .1..1..1
%e ..1..0..0. .0..0..0. .1..0..1. .1..1..0. .0..0..1. .1..0..1. .1..0..1
%Y Cf. A316648.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jul 09 2018