%I #6 Jun 10 2023 13:14:51
%S 8,35,154,692,3048,13712,61536,277248,1248512,5627072,25357376,
%T 114292352,515113792,2321755072,10464487552,47166021056,212586287680,
%U 958175791232,4318696862016,19465338739648,87734436661888,395438540064704
%N Number of n X 5 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.
%C Column 5 of A302081.
%H R. H. Hardin, <a href="/A302078/b302078.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +17*a(n-2) -38*a(n-3) -68*a(n-4) +136*a(n-5) +64*a(n-6) -128*a(n-7) for n>9.
%e Some solutions for n=5
%e ..0..1..0..1..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..0..1..0
%e ..0..1..1..1..0. .0..1..0..1..1. .0..0..1..1..0. .0..1..1..0..0
%e ..0..1..0..1..1. .0..0..0..0..1. .0..1..0..1..0. .0..1..0..1..0
%e ..0..1..0..0..1. .1..0..1..0..1. .0..0..0..1..0. .0..1..0..1..0
%e ..0..1..1..0..0. .1..1..1..0..0. .0..1..0..0..0. .0..1..1..1..0
%Y Cf. A302081.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 31 2018