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%I #4 Jan 07 2018 11:28:44
%S 0,3,0,3,0,3,6,23,68,205,572,1553,4208,11405,30988,84553,231176,
%T 632915,1734004,4751591,13021550,35685855,97797264,268015939,
%U 734511376,2012982445,5516772882,15119337301,41436399090,113561805901,311231201784
%N Number of nX3 0..1 arrays with every element equal to 2, 3 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A297876.
%H R. H. Hardin, <a href="/A297871/b297871.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) -3*a(n-3) -15*a(n-4) -9*a(n-5) +24*a(n-6) +29*a(n-7) -a(n-8) -36*a(n-9) -67*a(n-10) -23*a(n-11) +49*a(n-12) +43*a(n-13) +14*a(n-14) +3*a(n-15) -4*a(n-16) -2*a(n-17) for n>18
%e All solutions for n=7
%e ..0..0..1. .0..0..1. .0..0..0. .0..1..1. .0..1..1. .0..0..0
%e ..0..1..1. .0..1..1. .1..0..1. .0..0..1. .0..0..1. .1..0..1
%e ..0..1..0. .0..1..0. .1..1..1. .1..0..1. .1..0..1. .1..1..1
%e ..1..0..0. .1..0..0. .1..0..0. .1..1..0. .1..1..0. .0..0..1
%e ..0..1..0. .1..1..1. .0..1..0. .0..0..0. .1..0..1. .0..1..0
%e ..0..1..1. .1..0..1. .0..1..1. .0..1..0. .0..0..1. .1..1..0
%e ..0..0..1. .0..0..0. .0..0..1. .1..1..1. .0..1..1. .1..0..0
%Y Cf. A297876.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 07 2018
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