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FirstEntryInLastRow on StandardTableau ​

The first entry in the last row.

On StandardTableau

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

Called as CombinatorialStat(x, "FirstEntryInLastRow"). 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 St000738

The first entry in the last row of a standard tableau.

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

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000738 has the rest.