%I #6 Jun 17 2021 14:14:07
%S 16,132,494,1498,3936,9630,22656,52110,118182,265458,591924,1311966,
%T 2892738,6348402,13873152,30199422,65504766,141618834,305248332,
%U 656098110
%N Number of (n+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically.
%C Diagonal of A253231.
%e Some solutions for n=4
%e ..0..1..1..1..0....1..1..1..0..1....0..1..1..0..0....0..1..1..1..1
%e ..0..1..1..1..0....1..1..1..0..0....0..1..1..0..0....0..1..1..1..1
%e ..0..1..1..1..0....1..1..1..0..0....1..1..1..0..0....0..1..1..1..1
%e ..1..1..1..1..0....1..1..1..0..0....1..1..1..0..0....1..1..0..0..0
%e ..0..0..0..1..1....1..0..0..0..0....1..0..0..0..1....0..0..0..0..0
%Y Cf. A253231.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 29 2014