A301794 - OEIS

%I #4 Mar 26 2018 16:44:53

%S 16,89,48,61,82,116,171,260,404,637,1014,1624,2611,4208,6792,10973,

%T 17738,28684,46395,75052,121420,196445,317838,514256,832067,1346296,

%U 2178336,3524605,5702914,9227492,14930379,24157844,39088196,63246013,102334182

%N Number of 5Xn 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 5 of A301790.

%H R. H. Hardin, <a href="/A301794/b301794.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-3) for n>5

%e Some solutions for n=5

%e ..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..0..1..1..0

%e ..1..0..1..0..1. .0..1..0..1..1. .0..1..0..1..0. .1..0..0..1..0

%e ..1..0..1..0..0. .0..1..0..0..1. .1..0..1..0..1. .1..1..0..1..0

%e ..1..0..1..1..0. .0..1..1..0..1. .1..0..1..0..0. .0..1..0..1..0

%e ..1..0..0..1..1. .0..0..1..0..0. .1..0..1..1..0. .0..1..0..1..0

%Y Cf. A301790.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 26 2018