%I #10 May 18 2020 03:00:44
%S 52,1750,35775,507549,5442547,46757209,335279744,2067951459,
%T 11224133015,54571222450,241058398756,978630346891,3686088206746,
%U 12983700750813,43054563334197,135177521790982,403818954811225,1152699706324158
%N Number of (5*n) X 5 binary arrays with rows in nonincreasing order and n ones in every column.
%H R. H. Hardin, <a href="/A188389/b188389.txt">Table of n, a(n) for n = 1..19</a>
%e Some solutions for 10 X 5:
%e ..1..0..0..0..1....1..1..0..1..0....1..1..1..1..1....1..1..0..0..0
%e ..1..0..0..0..0....1..0..0..1..0....1..0..1..0..0....1..1..0..0..0
%e ..0..1..0..1..1....0..1..0..0..0....0..1..0..0..0....0..0..1..1..1
%e ..0..1..0..0..0....0..0..1..0..0....0..0..0..1..0....0..0..1..1..0
%e ..0..0..1..0..0....0..0..1..0..0....0..0..0..0..1....0..0..0..0..1
%e ..0..0..1..0..0....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..1..0....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%e ..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0
%Y Column 5 of A188392.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 30 2011
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