StandardTableauCountWithMajorIndexDivisibleBySize on IntegerPartition
The standard Young tableaux whose major index is divisible by the size of the shape.
Called as CombinatorialStat(x, "StandardTableauCountWithMajorIndexDivisibleBySize"). 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 St001442
The number of standard Young tableaux whose major index is divisible by the size of a given integer partition.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
[8] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001442 has the rest.