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%I #4 Aug 21 2018 13:10:29
%S 1,6,4,21,47,125,329,842,2254,5893,15435,40669,106859,280658,738110,
%T 1940361,5099669,13407853,35248057,92658886,243597948,640404049,
%U 1683558645,4425986909,11635671179,30589415206,80417882852,211414206553
%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A318214.
%H R. H. Hardin, <a href="/A318209/b318209.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +5*a(n-2) +6*a(n-3) -8*a(n-4) -32*a(n-5) -19*a(n-6) +17*a(n-7) +43*a(n-8) +36*a(n-9) +24*a(n-10) +8*a(n-11) -10*a(n-12) -66*a(n-13) -26*a(n-14) +28*a(n-15) +8*a(n-16) -20*a(n-17) -2*a(n-18) +46*a(n-19) -18*a(n-20) -44*a(n-21) +32*a(n-23) -5*a(n-24) -15*a(n-25) +13*a(n-26) +6*a(n-27) -8*a(n-28) -4*a(n-29) +5*a(n-30) +a(n-31) -a(n-32) for n>33
%e Some solutions for n=5
%e ..0..0..1. .0..0..0. .0..1..0. .0..1..1. .0..1..1. .0..1..1. .0..1..0
%e ..1..0..1. .1..0..1. .0..0..0. .0..1..0. .1..1..0. .1..0..0. .0..0..0
%e ..0..1..0. .0..0..0. .0..1..0. .0..0..0. .1..1..1. .1..1..0. .0..1..1
%e ..0..0..0. .1..0..0. .1..0..0. .0..1..0. .0..1..0. .1..0..0. .0..0..1
%e ..0..1..0. .0..0..1. .1..1..1. .1..1..0. .1..1..1. .0..0..1. .1..1..0
%Y Cf. A318214.
%K nonn
%O 1,2
%A _R. H. Hardin_, Aug 21 2018