PlancherelCount on IntegerPartition
The square of the number of standard tableaux: the permutations whose Robinson-Schensted shape is this partition.
Called as CombinatorialStat(x, "PlancherelCount"). The head's page has its examples.
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Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St000284
The Plancherel distribution on integer partitions.
| Object | Value |
|---|---|
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
[8] | 1 |
[9] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000284 has the rest.