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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. 0

%I

%S 2,4,8,2,16,10,32,34,5,5,64,98,35,35,128,258,154,168,42,0,14

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

%C Row sums give A000085, n >= 2.

%H FindStat - Combinatorial Statistic Finder, <a href="http://www.findstat.org/StatisticsDatabase/St000017">The number of inversions of a standard tableau</a>.

%e Triangle begins:

%e 2,

%e 4,

%e 8,2,

%e 16,10,

%e 32,34,5,5,

%e 64,98,35,35,

%e 128,258,154,168,42,0,14,

%e ...

%Y Cf. A000085, A263412.

%K nonn,tabf,more

%O 2,1

%A _Christian Stump_, Oct 17 2015

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Last modified August 4 10:03 EDT 2021. Contains 346446 sequences. (Running on oeis4.)