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%I #4 May 23 2018 16:00:45
%S 1,11,14,31,99,206,455,1321,3108,7353,19511,48532,118463,303897,
%T 765930,1903657,4822199,12178658,30524501,77018757,194412396,
%U 489021459,1232650101,3109425604,7832328261,19739728551,49774544636,125440149679
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305015.
%H R. H. Hardin, <a href="/A305010/b305010.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +3*a(n-2) +13*a(n-3) -9*a(n-4) -37*a(n-5) -59*a(n-6) +27*a(n-7) +130*a(n-8) +92*a(n-9) -35*a(n-10) -129*a(n-11) -8*a(n-12) +78*a(n-13) +45*a(n-14) -53*a(n-15) -34*a(n-16) -24*a(n-17) for n>18
%e Some solutions for n=5
%e ..0..0..0. .0..0..1. .0..0..0. .0..0..0. .0..1..0. .0..1..0. .0..0..0
%e ..0..1..0. .1..1..1. .1..0..1. .0..1..0. .0..1..0. .0..0..1. .0..1..1
%e ..0..0..1. .1..1..1. .0..0..0. .0..0..1. .0..0..0. .0..0..0. .0..1..1
%e ..0..0..0. .1..0..1. .1..0..1. .0..1..1. .0..1..0. .0..1..0. .0..0..0
%e ..0..1..0. .1..0..1. .0..0..0. .1..0..1. .0..0..1. .0..1..0. .0..1..1
%Y Cf. A305015.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 23 2018
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