%I #4 Feb 15 2018 14:38:37
%S 4,32,247,1924,14981,116654,908360,7073213,55077652,428878329,
%T 3339587196,26004677512,202493066595,1576771794248,12277997133149,
%U 95606234301950,744466050795960,5797003771085993,45140074132400664,351496458022297409
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299654.
%H R. H. Hardin, <a href="/A299649/b299649.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +5*a(n-2) +9*a(n-3) -a(n-4) -6*a(n-5)
%e Some solutions for n=5
%e ..0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..1. .0..0..1. .0..1..0
%e ..0..0..1. .0..1..1. .0..1..0. .1..0..0. .0..1..0. .0..1..1. .1..0..0
%e ..0..0..1. .1..1..1. .1..1..1. .0..1..0. .0..1..1. .0..0..0. .1..1..0
%e ..1..0..1. .0..1..0. .1..1..0. .1..0..0. .0..1..1. .1..0..1. .0..1..0
%e ..1..1..0. .1..1..0. .0..0..1. .0..0..0. .1..0..1. .0..0..1. .1..0..1
%Y Cf. A299654.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 15 2018
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