%I #11 Apr 20 2020 00:07:29
%S 1,1,5,17,81,343,1592,7551,34546,158402,734321,3389249,15610239,
%T 72045856,332515175,1533661362,7075164898,32644176977,150600651761,
%U 694773927239,3205360278072,14787893322847,68223139662242,314745564736962
%N Number of n X n 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.
%C Diagonal of A303719.
%H R. H. Hardin, <a href="/A303713/b303713.txt">Table of n, a(n) for n = 1..70</a>
%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) +28*a(n-3) -2*a(n-4) -42*a(n-5) -56*a(n-6) +50*a(n-7) -44*a(n-8) +30*a(n-9) -44*a(n-10) +2*a(n-11) +2*a(n-12) -a(n-14) +a(n-15) for n>18.
%e Some solutions for n=5
%e ..0..0..0..0..0. .0..0..0..1..0. .0..0..0..1..0. .0..0..0..0..0
%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..1
%e ..1..0..0..0..0. .1..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
%e ..0..0..0..1..0. .0..0..0..0..0. .0..0..1..0..0. .0..0..0..0..0
%Y Cf. A303719.
%K nonn
%O 1,3
%A _R. H. Hardin_, Apr 29 2018