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%I #6 Apr 11 2022 12:11:00
%S 3,4,1,4,10,6,11,41,24,42,169,100,159,710,405,643,2995,1673,2659,
%T 12648,6948,11132,53434,29109,46870,225916,122510,197807,955669,
%U 517066,835904,4044687,2185734,3535227,17123968,9247255,14959235,72513441,39141547
%N Number of n X 3 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299451.
%H R. H. Hardin, <a href="/A299446/b299446.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +5*a(n-3) -5*a(n-4) +a(n-5) -2*a(n-6) +2*a(n-7) -2*a(n-8) -8*a(n-9) +5*a(n-10) -10*a(n-11) +10*a(n-12) +a(n-13) +2*a(n-14) +7*a(n-15) +a(n-17) +a(n-18) for n>19.
%e Some solutions for n=5
%e ..0..0..0. .0..0..0. .0..1..0. .0..1..1. .0..0..1. .0..1..1. .0..0..0
%e ..0..0..0. .0..0..0. .0..1..0. .0..1..1. .0..0..1. .0..1..1. .0..0..0
%e ..0..0..0. .1..1..1. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..0..0
%e ..0..0..0. .1..1..1. .0..1..0. .0..1..1. .1..1..0. .1..0..0. .1..1..1
%e ..0..0..0. .1..1..1. .0..1..0. .0..1..1. .1..1..0. .1..0..0. .1..1..1
%Y Cf. A299451.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 10 2018
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