%I #3 Jan 06 2016 11:31:14
%S 2,6,21,115,816,7185,68890,671796,6347005,56180274,460040399,
%T 3470013146,24151911854,155703390684
%N Number of nX7 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.
%C Column 7 of A266935.
%e Some solutions for n=4
%e ..0..0..0..0..0..1..1....0..0..0..0..1..1..1....0..0..0..0..0..0..1
%e ..0..0..1..1..1..0..1....0..0..1..1..0..0..1....0..0..0..0..0..1..0
%e ..1..1..0..0..1..1..0....1..1..0..1..0..1..0....1..1..1..1..1..0..0
%e ..1..1..1..1..0..0..0....1..1..1..0..1..0..0....1..1..1..1..1..1..0
%Y Cf. A266935.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2016