%I #4 Mar 08 2018 12:21:56
%S 1,3,5,16,40,113,304,833,2270,6194,16900,46103,125787,343166,936250,
%T 2554294,6968726,19012299,51870004,141513486,386081850,1053321508,
%U 2873707154,7840144587,21389746215,58356225385,159209417569,434360490031
%N Number of nX2 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 2 of A300539.
%H R. H. Hardin, <a href="/A300533/b300533.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +4*a(n-2) +2*a(n-3) -a(n-6)
%e Some solutions for n=5
%e ..0..0. .0..0. .0..1. .0..0. .0..0. .0..0. .0..1. .0..1. .0..0. .0..1
%e ..0..0. .0..1. .1..1. .0..0. .0..1. .0..0. .1..1. .1..1. .0..0. .1..1
%e ..0..0. .0..0. .0..1. .0..1. .1..1. .0..1. .0..1. .0..0. .1..0. .1..0
%e ..0..0. .1..0. .1..1. .0..0. .0..1. .1..1. .1..1. .0..0. .0..0. .0..0
%e ..0..1. .0..0. .1..1. .0..0. .1..1. .1..0. .1..0. .0..1. .0..1. .0..0
%Y Cf. A300539.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 08 2018