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%I #4 Feb 02 2018 07:37:01
%S 4,31,163,927,5331,30535,175286,1006611,5780036,33191586,190603429,
%T 1094541845,6285428287,36094210900,207271793585,1190262866608,
%U 6835110967356,39250776619893,225398457372461,1294355653107337
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299081.
%H R. H. Hardin, <a href="/A299076/b299076.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +4*a(n-2) +7*a(n-3) -26*a(n-4) -28*a(n-5) -18*a(n-6) -16*a(n-7) +12*a(n-8) +8*a(n-9) +16*a(n-10) for n>11
%e Some solutions for n=5
%e ..0..1..0. .0..0..1. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..0..0
%e ..0..0..0. .1..0..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .1..0..1
%e ..0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .1..1..1
%e ..0..1..0. .1..1..1. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .1..1..1
%e ..0..1..1. .1..0..1. .1..0..0. .0..0..1. .0..0..0. .1..0..1. .1..0..1
%Y Cf. A299081.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 02 2018
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