CompositionMajorIndex on IntegerComposition
The sum of the descents of the composition: its partial sums, the total left out.
Reads the composition as a descent set, as FindStat's St000008 does. MajorIndex reads it as a word.
Called as CombinatorialStat(x, "CompositionMajorIndex"). The head's page has its examples.
Live
Distribution
Over IntegerCompositions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000008
The major index of the composition.
| 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/St000008 has the rest.