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LastEntryOnMainDiagonal on StandardTableau ​

The last entry on the main diagonal.

On StandardTableau

The empty tableau, which has no such entry, gives 0.

Called as CombinatorialStat(x, "LastEntryOnMainDiagonal"). The head's page has its examples.

Live

Distribution

Over StandardTableaux at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St000735

The last entry on the main diagonal of a standard tableau.

ObjectValue
[[1,2]]1
[[1,2,3]]1
[[1],[2]]1
[[1,2,3,4]]1
[[1,2],[3]]1
[[1,3],[2]]1
[[1,2,3,4,5]]1
[[1,2,3],[4]]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000735 has the rest.