%I #4 Apr 02 2018 14:51:31
%S 8,10,17,29,51,109,206,407,791,1584,3104,6165,12131,24059,47443,93958,
%T 185498,367087,725156,1434386,2834565,5605574,11079494,21907412,
%U 43304842,85620318,169257166,334632998,661534245,1307869617,2585565413,5111662053
%N Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Row 4 of A302163.
%H R. H. Hardin, <a href="/A302166/b302166.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +8*a(n-4) -4*a(n-5) -4*a(n-6) -a(n-7) -22*a(n-8) +a(n-9) +5*a(n-10) +2*a(n-11) +28*a(n-12) +6*a(n-13) -3*a(n-14) -3*a(n-15) -17*a(n-16) -4*a(n-17) +2*a(n-18) +2*a(n-19) +4*a(n-20) -a(n-22) for n>23
%e Some solutions for n=5
%e ..0..1..1..0..0. .0..0..1..1..0. .0..1..0..1..0. .0..1..0..1..0
%e ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .1..1..0..1..1
%e ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0
%e ..0..1..0..0..1. .0..1..0..0..1. .0..1..0..0..1. .0..1..0..1..0
%Y Cf. A302163.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 02 2018