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%I #4 Apr 15 2018 10:30:55
%S 3,11,17,37,82,209,536,1549,4513,13980,44424,142457,463592,1518144,
%T 4985864,16423493,54170895,178797985,590488247,1950654770,6444889749,
%U 21296082916,70373480203,232558689443,768538881502,2539828012418
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A302877.
%H R. H. Hardin, <a href="/A302872/b302872.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +9*a(n-3) -15*a(n-4) -5*a(n-5) -22*a(n-6) -7*a(n-7) +9*a(n-8) -32*a(n-9) -10*a(n-10) -16*a(n-11) -40*a(n-12) -16*a(n-13) for n>16
%e Some solutions for n=5
%e ..0..0..1. .0..0..1. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..0..0
%e ..0..1..0. .1..1..1. .0..1..0. .1..1..1. .0..1..0. .1..1..1. .0..1..0
%e ..0..1..0. .1..0..1. .0..1..0. .1..0..1. .0..1..0. .1..0..1. .0..1..0
%e ..0..1..0. .1..0..0. .1..1..0. .1..0..1. .0..0..0. .1..0..1. .0..1..0
%e ..0..0..0. .1..0..1. .0..1..0. .0..1..1. .0..1..1. .1..1..0. .0..1..0
%Y Cf. A302877.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 15 2018
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