MahonianWordDescents on SetPartition
Descents of the Mahonian word.
Called as CombinatorialStat(x, "MahonianWordDescents"). The head's page has its examples.
Live
Distribution
Over SetPartitions at each size, tallied here in your browser; sizes past 10 are not offered.
FindStat St001840
The number of descents of a set partition.
| Object | Value |
|---|---|
{{1}} | 0 |
{{1,2}} | 0 |
{{1,2,3}} | 0 |
{{1},{2}} | 0 |
{{1,2,3,4}} | 0 |
{{1,2},{3}} | 0 |
{{1,3},{2}} | 1 |
{{1},{2,3}} | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001840 has the rest.