SemistandardTableauCountWithEntriesUpToFour on IntegerPartition
Semistandard tableaux of the shape with entries at most 4.
Called as CombinatorialStat(x, "SemistandardTableauCountWithEntriesUpToFour"). 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 St000712
The number of semistandard Young tableaux of given shape, with entries at most 4.
| Object | Value |
|---|---|
[] | 1 |
[1] | 4 |
[2] | 10 |
[3] | 20 |
[4] | 35 |
[5] | 56 |
[6] | 84 |
[7] | 120 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000712 has the rest.