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%I #4 Mar 09 2018 17:31:45
%S 1,10,53,277,1432,7514,39330,205958,1078479,5647607,29574290,
%T 154869427,810992627,4246863308,22239224467,116458451229,609849090084,
%U 3193550233566,16723421015675,87574263789114,458593470239206
%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A300612.
%H R. H. Hardin, <a href="/A300607/b300607.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) +12*a(n-5) -2*a(n-6) +20*a(n-7) +15*a(n-8) -49*a(n-9) -35*a(n-10) +15*a(n-11) +4*a(n-12) +16*a(n-13) +36*a(n-14) +8*a(n-15) -16*a(n-16) -8*a(n-17) for n>18
%e Some solutions for n=5
%e ..0..0..0. .0..1..1. .0..0..1. .0..0..0. .0..0..0. .0..0..0. .0..0..1
%e ..1..1..1. .0..0..0. .0..1..0. .1..1..1. .0..1..0. .1..1..0. .0..1..0
%e ..0..0..1. .1..1..0. .1..0..0. .1..0..0. .0..1..0. .1..0..1. .0..1..0
%e ..0..0..0. .0..1..1. .1..1..0. .0..1..0. .0..0..1. .1..1..1. .0..1..0
%e ..1..1..1. .0..0..1. .0..0..0. .1..1..0. .0..1..1. .0..0..1. .1..1..0
%Y Cf. A300612.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 09 2018
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