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%I #4 Mar 06 2018 11:25:46
%S 0,2,2,8,22,68,212,652,2017,6225,19229,59393,183451,566633,1750167,
%T 5405795,16697038,51572664,159294072,492016422,1519706056,4693962286,
%U 14498384074,44781599826,138318289075,427227905079,1319591820767
%N Number of nX3 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A300465.
%H R. H. Hardin, <a href="/A300460/b300460.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) +3*a(n-3) +a(n-4) +8*a(n-5) +4*a(n-6) -5*a(n-7) -11*a(n-8) +6*a(n-9) -2*a(n-10) -7*a(n-11) -a(n-12) +4*a(n-13) -4*a(n-14) +a(n-15)
%e Some solutions for n=5
%e ..0..0..0. .0..0..1. .0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..0..1
%e ..0..0..0. .0..1..1. .0..0..0. .0..0..1. .0..1..1. .0..0..1. .0..1..1
%e ..1..1..0. .1..1..1. .1..1..0. .0..1..1. .0..0..1. .0..1..1. .0..1..1
%e ..1..0..0. .0..0..1. .1..1..0. .1..1..0. .0..1..1. .0..0..1. .0..0..0
%e ..0..0..0. .0..1..1. .1..0..0. .1..0..0. .1..1..1. .0..1..1. .0..0..0
%Y Cf. A300465.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 06 2018
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