Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #4 Apr 05 2018 09:49:14
%S 4,20,65,281,1144,4321,18093,72746,285199,1170837,4701572,18728977,
%T 76116025,305826310,1226299079,4959269105,19941716260,80172499973,
%U 323467010101,1301467854854,5237685581779,21109227250621,84964283025692
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A302322.
%H R. H. Hardin, <a href="/A302317/b302317.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +3*a(n-2) +30*a(n-3) -88*a(n-4) -36*a(n-5) -60*a(n-6) -116*a(n-7) +4*a(n-8) -16*a(n-9) +20*a(n-10) +40*a(n-11) +64*a(n-12) +16*a(n-13) -32*a(n-14)
%e Some solutions for n=5
%e ..0..0..0. .0..1..0. .0..0..1. .0..1..1. .0..1..0. .0..1..1. .0..1..1
%e ..1..0..1. .1..0..1. .1..0..0. .0..1..0. .1..0..0. .0..0..1. .0..0..1
%e ..0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..0..1. .0..1..0. .0..1..0
%e ..0..0..0. .0..1..0. .0..1..0. .0..0..1. .0..1..0. .0..1..0. .1..0..0
%e ..1..1..1. .0..1..0. .1..1..0. .0..1..1. .0..1..0. .0..0..0. .0..0..1
%Y Cf. A302322.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 05 2018