The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #3 Jan 06 2016 11:30:53
%S 2,6,19,82,429,2577,15850,96503,555060,2977370,14782970,68041108,
%T 291292442,1165800099,4383605127,15564591521,52423001756,168200350788,
%U 516045791503,1519124991181
%N Number of nX6 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.
%C Column 6 of A266935.
%e Some solutions for n=4
%e ..0..0..0..0..0..0....0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..0..0
%e ..0..0..0..0..0..1....1..1..1..1..0..0....0..0..0..1..1..0....0..0..1..1..1..1
%e ..0..0..0..0..1..0....1..1..1..1..0..0....1..1..1..0..0..0....1..1..0..0..1..1
%e ..1..1..1..1..0..0....1..1..1..1..1..1....1..1..1..0..0..0....1..1..1..1..0..0
%Y Cf. A266935.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2016