A202484 - OEIS

%I #10 Oct 03 2025 09:37:18

%S 108,1296,42588,3111696,349399008,75391979776,34683335205048,

%T 31497618411267856,53353357774938031624,175506661165679433462016,

%U 1144167246050992881367449600,14547294515194050040126081106176

%N Number of (n+2)X(n+2) binary arrays avoiding patterns 000 and 010 in rows, columns and nw-to-se diagonals.

%C Diagonal of A202492

%H R. H. Hardin, <a href="/A202484/b202484.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2011