HuangRhoadesMajorIndex on SetPartition
The major index of the flattened permutation, plus for each block ending before the next begins the elements so far beyond each block's first.
Huang and Rhoades' variant (Ordered set partitions and the 0-Hecke algebra, eq. 2.7).
Called as CombinatorialStat(x, "HuangRhoadesMajorIndex"). The head's page has its examples.
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Distribution
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FindStat St000747
A variant of the major index of a set partition.
| Object | Value |
|---|---|
{{1,2}} | 0 |
{{1,2,3}} | 0 |
{{1},{2}} | 0 |
{{1,2,3,4}} | 0 |
{{1,2},{3}} | 1 |
{{1,3},{2}} | 2 |
{{1},{2,3}} | 0 |
{{1,2,3,4,5}} | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000747 has the rest.