SemistandardTableauCountWithEntriesUpToSize on IntegerPartition
Semistandard tableaux of the shape with entries at most the size of the partition.
Called as CombinatorialStat(x, "SemistandardTableauCountWithEntriesUpToSize"). The head's page has its examples.
Live
Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St000705
The number of semistandard tableaux on a given integer partition of n with maximal entry n.
| Object | Value |
|---|---|
[] | 1 |
[1] | 1 |
[2] | 3 |
[3] | 10 |
[4] | 35 |
[5] | 126 |
[6] | 462 |
[7] | 1716 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000705 has the rest.