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%I #4 Jan 17 2018 08:20:20
%S 1,17,113,628,3641,21375,124972,730509,4271331,24974286,146021443,
%T 853770711,4991901968,29187089317,170653628083,997792567886,
%U 5833980911671,34110630196019,199441018025056,1166109199411145
%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298337.
%H R. H. Hardin, <a href="/A298332/b298332.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +3*a(n-2) +14*a(n-3) -9*a(n-4) -29*a(n-5) -33*a(n-6) -48*a(n-7) +34*a(n-8) -2*a(n-9) -10*a(n-10) -32*a(n-11) +12*a(n-12) +8*a(n-13) for n>15
%e Some solutions for n=7
%e ..0..0..1. .0..0..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..0..0
%e ..1..1..0. .1..1..1. .0..1..0. .0..0..1. .1..0..1. .1..0..0. .1..1..1
%e ..1..0..0. .0..0..0. .0..1..1. .0..1..1. .0..1..1. .1..1..0. .1..1..0
%e ..1..1..0. .1..1..1. .0..1..0. .0..0..1. .1..1..1. .0..0..1. .1..0..1
%e ..0..1..0. .0..0..1. .0..0..0. .1..1..1. .1..0..1. .0..1..0. .1..1..0
%e ..0..0..1. .0..1..0. .1..0..0. .1..0..0. .0..1..1. .0..1..0. .0..0..0
%e ..1..1..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0. .0..1..1. .1..1..1
%Y Cf. A298337.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 17 2018
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