%I #3 Dec 29 2015 09:53:08
%S 7,63,574,5365,49894,448649,3825307,30555624,227542455,1579153474,
%T 10236107278,62184207773,355425984636,1918894455423,9822580592133,
%U 47841257692021,222427734697477,990076818618586
%N Number of nX6 binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.
%C Column 6 of A266428.
%e Some solutions for n=4
%e ..0..0..0..1..1..1....0..0..0..0..0..0....0..0..1..1..1..1....0..0..0..0..0..1
%e ..1..1..1..0..0..0....0..0..0..1..1..1....0..0..1..1..1..1....0..0..0..1..1..1
%e ..1..1..1..1..1..1....0..0..0..1..1..1....1..1..0..0..0..1....0..1..1..1..1..1
%e ..1..1..1..1..1..1....0..0..1..0..0..0....1..1..0..1..1..1....1..1..1..0..1..0
%Y Cf. A266428.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 29 2015