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%I #4 Jan 31 2018 09:02:21
%S 4,31,179,1073,6479,39015,235033,1416220,8533123,51414948,309794527,
%T 1866627347,11247127125,67768156738,408328539256,2460332478992,
%U 14824425340207,89322718995185,538202860973128,3242873961665678
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299001.
%H R. H. Hardin, <a href="/A298996/b298996.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +6*a(n-2) +7*a(n-3) -26*a(n-4) -53*a(n-5) -27*a(n-6) -39*a(n-7) +17*a(n-8) -5*a(n-9) +12*a(n-10) for n>11
%e Some solutions for n=6
%e ..0..0..1. .0..1..1. .0..0..0. .0..0..1. .0..0..1. .0..1..1. .0..1..1
%e ..1..1..0. .1..0..1. .1..1..0. .1..1..1. .0..1..0. .0..0..0. .0..1..0
%e ..0..1..0. .0..0..0. .0..0..1. .0..0..0. .1..0..0. .1..0..1. .0..0..0
%e ..0..1..0. .1..1..1. .0..1..0. .0..1..0. .0..1..1. .0..1..1. .0..0..1
%e ..0..1..0. .0..0..0. .1..1..1. .1..1..1. .0..1..0. .0..0..0. .0..1..0
%e ..1..1..0. .0..1..1. .0..1..0. .0..1..0. .0..0..1. .1..1..1. .1..1..0
%Y Cf. A299001.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 31 2018
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