SemistandardTableauCountWithEntriesUpToThree on IntegerPartition
Semistandard tableaux of the shape with entries at most 3.
Called as CombinatorialStat(x, "SemistandardTableauCountWithEntriesUpToThree"). 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 St000715
The number of semistandard Young tableaux of given shape and entries at most 3.
| Object | Value |
|---|---|
[] | 1 |
[1] | 3 |
[2] | 6 |
[3] | 10 |
[4] | 15 |
[5] | 21 |
[6] | 28 |
[7] | 36 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000715 has the rest.