MahonianWordZIndex on SetPartition
The major indices of the Mahonian word restricted to each pair of letters, summed.
Called as CombinatorialStat(x, "MahonianWordZIndex"). The head's page has its examples.
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Distribution
Over SetPartitions at each size, tallied here in your browser; sizes past 10 are not offered.
FindStat St001843
The Z-index 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/St001843 has the rest.