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%I #2 Mar 31 2012 12:35:48
%S 1,0,44,14284,8554238,9893281255,19903018463755
%N Number of nX4 arrays containing 4 indistinguishable copies of 1..n with lexicographical ordering of rows strictly increasing and columns strictly decreasing
%C Column 4 of A180843
%e Some solutions for 3X4
%e ..2..1..1..1....2..1..1..1....2..1..1..1....2..1..1..1....2..1..1..1
%e ..2..3..2..1....2..3..2..1....2..3..2..1....2..3..2..1....2..3..3..1
%e ..2..3..3..3....3..2..3..3....3..3..3..2....3..3..2..3....3..3..2..2
%e ...
%e ..2..1..1..1....2..1..1..1....2..1..1..1....2..1..1..1....2..2..1..1
%e ..2..3..2..2....2..3..3..2....2..3..3..2....2..3..3..2....2..2..3..1
%e ..3..3..3..1....3..2..1..3....3..3..1..2....3..3..2..1....3..1..3..3
%e ...
%e ..2..2..1..1....2..1..1..1....2..1..1..1....2..2..1..1....2..2..1..1
%e ..2..2..3..3....3..2..2..1....3..3..2..1....3..1..2..1....3..1..2..1
%e ..3..1..3..1....3..3..2..3....3..3..2..2....3..2..3..3....3..3..3..2
%K nonn
%O 1,3
%A _R. H. Hardin_ Sep 20 2010