%I #6 Apr 20 2020 19:44:26
%S 2,4,9,35,210,2577,68890,4605960,821453747
%N Number of n X n binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.
%C Diagonal of A266935.
%e Some solutions for n=4
%e ..0..0..0..1....0..0..0..1....0..0..1..1....0..0..0..1....0..0..1..1
%e ..0..0..1..0....1..1..1..0....1..1..0..0....0..0..1..1....0..0..1..1
%e ..1..1..0..1....1..1..1..0....1..1..1..1....1..1..0..0....1..1..0..0
%e ..1..1..1..0....1..1..1..1....1..1..1..1....1..1..1..0....1..1..0..0
%Y Cf. A266935.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2016