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%I #4 Dec 18 2017 11:02:02
%S 5,25,82,334,1451,5938,25144,108174,463106,1993381,8610853,37204410,
%T 160918789,696574539,3016039293,13062233333,56582341392,245122824458,
%U 1061978868801,4601176596572,19935804602906,86378690816576
%N Number of nX3 0..1 arrays with each 1 adjacent to 0, 2 or 3 king-move neighboring 1s.
%C Column 3 of A296674.
%H R. H. Hardin, <a href="/A296669/b296669.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -a(n-2) +5*a(n-3) -55*a(n-4) -22*a(n-5) +42*a(n-6) +48*a(n-7) +37*a(n-8) -16*a(n-9) +30*a(n-10) -22*a(n-11) +4*a(n-12)
%e Some solutions for n=7
%e ..0..1..1. .1..0..0. .1..1..0. .0..0..0. .1..1..0. .0..0..1. .0..0..0
%e ..0..1..1. .0..0..1. .1..0..0. .0..1..0. .1..0..1. .0..0..0. .0..0..0
%e ..0..0..0. .0..0..0. .0..1..1. .0..0..0. .0..1..1. .1..1..0. .0..0..0
%e ..1..0..0. .0..0..0. .0..0..1. .0..0..0. .0..0..0. .1..0..1. .0..1..1
%e ..0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1. .0..1..1
%e ..0..0..0. .0..0..0. .1..1..0. .0..1..0. .0..0..0. .1..1..0. .0..0..0
%e ..0..0..0. .1..0..1. .0..1..1. .1..1..1. .0..0..0. .1..0..0. .1..0..1
%Y Cf. A296674.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 18 2017
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