A301796 - OEIS

%I #6 Sep 03 2022 22:51:48

%S 64,610,192,221,275,364,508,741,1118,1728,2715,4312,6896,11077,17842,

%T 28788,46499,75156,121524,196549,317942,514360,832171,1346400,2178440,

%U 3524709,5703018,9227596,14930483,24157948,39088300,63246117,102334286

%N Number of 7 X n 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 7 of A301790.

%H R. H. Hardin, <a href="/A301796/b301796.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-3) for n>7.

%e Some solutions for n=5

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

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

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

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

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

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

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

%Y Cf. A301790.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 26 2018