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MahonianWordMajorIndex on SetPartition ​

The major index of the Mahonian word.

On SetPartition

Called as CombinatorialStat(x, "MahonianWordMajorIndex"). 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 St001842

The major index of a set partition.

ObjectValue
{{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/St001842 has the rest.