%I #10 Mar 25 2014 16:09:22
%S 1,2,4,8,2,16,10,32,34,5,5,64,98,35,35,128,258,154,154,14,42,14
%N Number of Young tableaux with n cells and k inversions.
%C The sequence of rowsums is A000085, and the sequence of number of terms in each row is A002865.
%H FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/St000017">The number of inversions of a tableau</a>
%e The irregular triangle begins
%e ..1
%e ..2
%e ..4
%e ..8...2
%e .16..10
%e .32..34...5...5
%e .64..98..35..35
%e 128.258.154.154..14..42..14
%e etc.
%Y Cf. A000041, A002865, A000079 (rowsum of A007318), A036799 (rowsum of A059797), A117506.
%K nonn,tabf,uned
%O 1,2
%A _Alford Arnold_, Nov 07 2009