RowOfLargestEntry on StandardTableau
The row containing the largest entry.
The empty tableau, which has no such entry, gives 0.
Called as CombinatorialStat(x, "RowOfLargestEntry"). 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 St000733
The row containing the largest entry of a standard tableau.
| Object | Value |
|---|---|
[[1]] | 1 |
[[1,2]] | 1 |
[[1,2,3]] | 1 |
[[1],[2]] | 2 |
[[1,2,3,4]] | 1 |
[[1,2],[3]] | 2 |
[[1,3],[2]] | 1 |
[[1,2,3,4,5]] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000733 has the rest.