%I
%S 3,9,19,57,139,369,963,2489,6523,16929,44147,114953,299307,779697,
%T 2030243,5287833,13770971,35864001,93402579,243249193,633503627,
%U 1649849553,4296752131,11190160825,29142853947,75897603297,197662332211
%N Number of n X 3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.
%H R. H. Hardin, <a href="/A297390/b297390.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n1) + 4*a(n2) + 2*a(n3)  4*a(n4).
%F Empirical g.f.: x*(1 + 2*x)*(3  2*x^2) / (1  x  4*x^2  2*x^3 + 4*x^4).  _Colin Barker_, Feb 28 2019
%e Some solutions for n=5:
%e ..0..1..0. .1..1..0. .0..1..1. .0..0..1. .0..1..1. .0..0..0. .1..0..0
%e ..0..0..1. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .1..0..0. .0..1..0
%e ..1..0..0. .0..1..1. .0..1..1. .0..0..0. .1..1..0. .0..1..0. .0..0..0
%e ..0..1..0. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0
%e ..0..0..0. .1..1..0. .0..1..1. .1..0..0. .1..1..0. .1..1..0. .0..1..1
%Y Column 3 of A297395.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 29 2017
