login
Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #7 Apr 20 2020 00:04:03

%S 1,8,240,25808,9989376,13918667808,69786476414080,1259406594247832896,

%T 81801738558534434812512,19123141293346274424868082896,

%U 16090014430301966976090685132636800

%N Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Diagonal of A302010.

%H R. H. Hardin, <a href="/A302005/b302005.txt">Table of n, a(n) for n = 1..17</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302010.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 30 2018