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A263410 Triangle read by rows: T(n>=2, k>=0) is the number of standard tableaux of size n whose shape contains k inversions.

%I A263410 #6 Oct 21 2015 17:29:22
%S A263410 2,4,8,2,16,10,32,34,5,5,64,98,35,35,128,258,154,168,42,0,14
%N A263410 Triangle read by rows: T(n>=2, k>=0) is the number of standard tableaux of size n whose shape contains k inversions.
%C A263410 Row sums give A000085, n >= 2.
%H A263410 FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000017">The number of inversions of a standard tableau</a>.
%e A263410 Triangle begins:
%e A263410 2,
%e A263410 4,
%e A263410 8,2,
%e A263410 16,10,
%e A263410 32,34,5,5,
%e A263410 64,98,35,35,
%e A263410 128,258,154,168,42,0,14,
%e A263410 ...
%Y A263410 Cf. A000085, A263412.
%K A263410 nonn,tabf,more
%O A263410 2,1
%A A263410 _Christian Stump_, Oct 17 2015