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%I #4 Mar 19 2018 09:42:25
%S 1,10,53,277,1433,7522,39390,206370,1081141,5664201,29675091,
%T 155470142,814520042,4267334800,22356902816,117129577486,613651093697,
%U 3214966486924,16843463025482,88244231458054,462318489581630
%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A301354.
%H R. H. Hardin, <a href="/A301349/b301349.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +5*a(n-2) -19*a(n-3) -6*a(n-4) +14*a(n-5) -3*a(n-6) +16*a(n-7) +19*a(n-8) -59*a(n-9) -41*a(n-10) +29*a(n-11) +8*a(n-12) +24*a(n-13) +51*a(n-14) -6*a(n-15) -32*a(n-16) -4*a(n-17) +4*a(n-18) for n>20
%e Some solutions for n=5
%e ..0..0..0. .0..1..1. .0..0..0. .0..1..0. .0..0..0. .0..0..1. .0..0..0
%e ..0..1..0. .0..0..1. .0..1..0. .0..1..0. .0..1..0. .0..1..1. .0..1..1
%e ..1..1..0. .0..1..0. .1..0..0. .0..1..0. .1..0..1. .1..0..0. .0..0..1
%e ..0..1..0. .1..0..1. .1..1..1. .0..1..0. .1..0..1. .1..0..1. .1..1..1
%e ..0..1..1. .1..1..1. .1..0..0. .1..1..0. .1..1..1. .1..1..1. .0..0..0
%Y Cf. A301354.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 19 2018
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