StandardTableauCountWithMajorIndexCongruentToOneModuloSize on IntegerPartition
The standard Young tableaux whose major index leaves remainder 1 on division by the size of the shape (never, when the size is 1).
Called as CombinatorialStat(x, "StandardTableauCountWithMajorIndexCongruentToOneModuloSize"). 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 St001440
The number of standard Young tableaux whose major index is congruent one modulo the size of a given integer partition.
| Object | Value |
|---|---|
[1] | 0 |
[2] | 0 |
[3] | 0 |
[4] | 0 |
[5] | 0 |
[6] | 0 |
[7] | 0 |
[8] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001440 has the rest.