SemistandardTableauCountWithEntriesUpToTwo on IntegerPartition
Semistandard tableaux of the shape with entries at most 2: the product of 2 + j - i over the cells, over the hook product.
Called as CombinatorialStat(x, "SemistandardTableauCountWithEntriesUpToTwo"). 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 St000714
The number of semistandard Young tableaux of given shape, with entries at most 2.
| Object | Value |
|---|---|
[2] | 3 |
[3] | 4 |
[4] | 5 |
[5] | 6 |
[6] | 7 |
[7] | 8 |
[8] | 9 |
[9] | 10 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000714 has the rest.