%I #6 May 12 2023 15:21:56
%S 21,23,40,161,361,741,1592,3469,7416,15880,34193,73457,157645,338676,
%T 727589,1562584,3356196,7209121,15484337,33258365,71436088,153437805,
%U 329568008,707878984,1520453793,3265780153,7014565013,15066579716
%N Number of n X 7 0..1 arrays with every element unequal to 0, 1 or 5 king-move adjacent elements, with upper left element zero.
%C Column 7 of A303719.
%H R. H. Hardin, <a href="/A303718/b303718.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4) -a(n-5) -a(n-6) for n>9
%e Some solutions for n=5
%e ..0..0..1..0..0..0..0. .0..0..1..0..0..0..0. .0..1..0..0..0..0..0
%e ..0..0..0..0..0..0..0. .0..0..0..0..0..0..1. .0..0..0..0..0..0..1
%e ..0..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. .1..0..0..0..0..0..0. .0..0..0..0..0..0..0
%e ..0..0..0..0..1..0..0. .0..0..0..0..0..0..0. .0..0..1..0..0..0..0
%Y Cf. A303719.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 29 2018