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%I #4 Feb 01 2018 14:33:22
%S 1,13,38,199,864,4366,21804,111861,578509,3007390,15688017,81963177,
%T 428662899,2243048643,11740648591,61463549876,321797679318,
%U 1684885835098,8822066509377,46193090987303,241873068747484,1266485180192256
%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299060.
%H R. H. Hardin, <a href="/A299055/b299055.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +9*a(n-2) -31*a(n-3) -62*a(n-4) +46*a(n-5) +78*a(n-6) -36*a(n-7) +53*a(n-8) +101*a(n-9) -86*a(n-10) -14*a(n-11) -26*a(n-12) -28*a(n-13) +6*a(n-14) for n>16
%e Some solutions for n=5
%e ..0..1..1. .0..1..0. .0..0..1. .0..1..0. .0..0..1. .0..1..0. .0..0..1
%e ..1..1..0. .0..0..0. .0..1..1. .1..1..1. .0..1..1. .1..1..1. .0..1..1
%e ..1..0..0. .1..0..0. .1..1..0. .0..1..0. .0..0..1. .1..1..0. .0..0..1
%e ..0..0..1. .0..0..1. .1..1..1. .0..0..0. .1..0..0. .0..0..0. .1..0..0
%e ..0..0..0. .0..1..1. .0..1..0. .1..0..1. .0..0..1. .1..0..0. .0..0..0
%Y Cf. A299060.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 01 2018
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