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%I #4 May 17 2018 10:00:12
%S 1,11,8,21,46,103,201,512,1123,2536,6010,14033,32343,76620,180379,
%T 423657,1000938,2367196,5593222,13232605,31329142,74187004,175694455,
%U 416223934,986251748,2337014644,5538273336,13126126679,31110785899,73739138697
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A304704.
%H R. H. Hardin, <a href="/A304699/b304699.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +2*a(n-2) +10*a(n-3) -a(n-4) -20*a(n-5) -48*a(n-6) -31*a(n-7) +56*a(n-8) +107*a(n-9) +109*a(n-10) -30*a(n-11) -92*a(n-12) -70*a(n-13) -9*a(n-14) -35*a(n-15) -32*a(n-16) -4*a(n-17) for n>20
%e Some solutions for n=5
%e ..0..1..1. .0..0..1. .0..1..0. .0..1..0. .0..1..1. .0..1..1. .0..1..1
%e ..0..0..0. .1..1..1. .1..0..0. .0..1..0. .1..0..1. .0..0..0. .1..0..1
%e ..0..1..1. .0..0..1. .0..0..0. .1..1..1. .0..0..1. .0..0..0. .1..1..0
%e ..0..1..1. .0..0..1. .0..0..1. .1..1..1. .0..1..1. .1..0..1. .1..0..0
%e ..0..0..0. .1..1..1. .0..1..0. .1..0..1. .1..0..1. .1..0..1. .0..1..0
%Y Cf. A304704.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 17 2018
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