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%I #6 Apr 20 2020 19:44:01
%S 2,3,5,12,36,176,1688,48167,4283651
%N Number of n X n binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing.
%C Diagonal of A266547.
%e Some solutions for n=6
%e ..0..0..0..0..1..1....0..0..1..1..1..1....0..1..1..1..1..1....0..1..1..1..1..1
%e ..0..0..1..1..0..0....0..1..0..0..1..1....1..0..0..1..1..1....1..0..0..1..1..1
%e ..0..1..0..0..0..0....0..1..0..0..1..1....1..0..1..0..0..1....1..0..1..0..1..1
%e ..1..0..0..0..0..0....1..0..1..1..0..0....1..1..0..0..1..0....1..1..0..1..0..0
%e ..1..0..0..0..0..0....1..0..1..1..0..0....1..1..0..1..0..0....1..1..1..0..0..0
%e ..1..0..0..0..0..0....1..1..0..0..0..0....1..1..1..0..0..0....1..1..1..0..0..0
%Y Cf. A266547.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 31 2015