%I #8 Jul 19 2023 09:40:29
%S 96,844,17116,505725,22949327,1847238109,251440992886,56732547157097,
%T 21646795515491131,13988367087026139412,15250027197295200766732
%N Number of (n+2) X (n+2) binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.
%e Some solutions for n=3
%e ..1..0..1..1..1....1..1..1..1..1....1..1..1..1..1....0..1..1..0..0
%e ..1..1..1..1..1....1..1..1..0..0....1..1..1..0..1....1..1..0..1..1
%e ..1..1..1..1..1....1..1..1..0..1....1..1..1..1..0....1..0..1..1..1
%e ..1..0..1..1..1....0..1..1..0..1....0..1..1..1..0....0..1..1..0..1
%e ..0..1..1..0..0....1..1..0..0..0....1..1..0..0..0....0..1..1..1..0
%Y Diagonal of A202898
%K nonn,more
%O 1,1
%A _R. H. Hardin_, Dec 25 2011