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%I #4 Jan 31 2018 09:23:09
%S 4,26,94,372,1510,6105,24546,98995,399424,1610936,6496983,26205472,
%T 105698076,426321495,1719528280,6935574134,27974034790,112830828296,
%U 455093402265,1835579965589,7403653180460,29861995650489,120445781051920
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299008.
%H R. H. Hardin, <a href="/A299003/b299003.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -4*a(n-2) +5*a(n-3) -16*a(n-4) -19*a(n-5) +35*a(n-6) -5*a(n-7) +54*a(n-8) -94*a(n-9) +3*a(n-11) +74*a(n-12) +33*a(n-13) -21*a(n-14) -17*a(n-15) -8*a(n-16) -11*a(n-17) -4*a(n-18) for n>19
%e Some solutions for n=7
%e ..0..1..1. .0..0..1. .0..0..0. .0..1..0. .0..0..1. .0..0..0. .0..1..0
%e ..0..1..0. .1..1..1. .1..1..1. .1..0..1. .1..0..1. .0..1..1. .1..0..1
%e ..0..1..0. .1..0..1. .0..0..1. .0..1..1. .1..0..1. .1..0..0. .0..0..0
%e ..1..0..0. .1..0..1. .0..1..0. .0..0..0. .0..0..1. .0..1..1. .1..1..1
%e ..0..1..0. .0..1..0. .1..1..0. .1..0..0. .1..0..1. .1..0..0. .0..0..0
%e ..0..1..1. .0..0..0. .1..0..0. .1..0..0. .0..1..1. .0..1..1. .0..0..0
%e ..0..1..0. .0..1..1. .0..1..1. .1..1..1. .1..0..1. .0..1..0. .1..1..1
%Y Cf. A299008.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 31 2018
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