A301788 - OEIS

%I #4 Mar 26 2018 16:40:24

%S 13,22,38,66,116,205,364,648,1156,2065,3692,6605,11821,21162,37891,

%T 67853,121517,217635,389795,698159,1250488,2239801,4011830,7185843,

%U 12871061,23054299,41294302,73965426,132485296,237304945,425055875,761351738

%N Number of nX6 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A301790.

%H R. H. Hardin, <a href="/A301788/b301788.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-4) -a(n-5) -a(n-6)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301790.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 26 2018