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%I #4 Jan 12 2018 09:46:15
%S 0,1,0,1,0,3,0,7,2,19,10,53,42,153,156,453,548,1367,1860,4187,6182,
%T 12967,20270,40489,65870,127181,212768,401209,684456,1269547,2195656,
%U 4025967,7029770,12786683,22476818,40655069,71799858,129360321,229208420
%N Number of nX3 0..1 arrays with every element equal to 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298100.
%H R. H. Hardin, <a href="/A298095/b298095.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-3) +a(n-4) -2*a(n-5)
%e All solutions for n=8
%e ..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
%e ..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
%e ..1..1..1. .0..1..1. .1..1..1. .0..1..1. .1..1..0. .1..1..1. .1..1..0
%e ..1..1..1. .0..1..1. .1..1..1. .0..1..1. .1..1..0. .1..1..1. .1..1..0
%e ..1..0..0. .0..0..0. .0..0..0. .0..0..1. .1..0..0. .0..0..1. .0..0..0
%e ..1..0..0. .0..0..0. .0..0..0. .0..0..1. .1..0..0. .0..0..1. .0..0..0
%e ..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1
%e ..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1
%Y Cf. A298100.
%K nonn
%O 1,6
%A _R. H. Hardin_, Jan 12 2018
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