%I #4 Jan 03 2018 12:23:27
%S 5,26,95,415,1801,7526,32173,137242,583129,2484786,10583683,45062520,
%T 191933126,817441956,3481360348,14827246426,63149259874,268952155501,
%U 1145471423600,4878575547192,20777907778014,88493407078762
%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s.
%C Column 3 of A297694.
%H R. H. Hardin, <a href="/A297689/b297689.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -2*a(n-2) +6*a(n-3) -52*a(n-4) +23*a(n-5) -3*a(n-6) +21*a(n-7) -9*a(n-8)
%e Some solutions for n=7
%e ..0..0..0. .1..0..0. .0..0..0. .0..0..1. .0..0..0. .0..0..0. .0..0..1
%e ..0..0..0. .1..0..0. .1..0..1. .0..0..1. .0..0..0. .0..0..1. .0..0..0
%e ..0..0..0. .1..0..0. .0..0..1. .0..0..0. .0..0..1. .0..0..1. .1..1..1
%e ..1..0..0. .0..0..0. .0..0..0. .0..1..1. .0..0..1. .0..0..1. .0..1..0
%e ..0..0..1. .0..0..0. .0..0..1. .1..1..0. .0..0..1. .1..0..0. .1..1..1
%e ..0..0..0. .1..1..1. .0..0..0. .0..0..0. .1..0..1. .1..0..0. .0..0..0
%e ..0..0..0. .1..1..1. .0..1..0. .0..0..0. .1..0..1. .1..0..0. .1..0..1
%Y Cf. A297694.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 03 2018