MajorIndexAfterZeroingFixedPoints on Permutation
The major index of the word with every fixed point replaced by 0.
Called as CombinatorialStat(x, "MajorIndexAfterZeroingFixedPoints"). The head's page has its examples.
Live
Distribution
Over SymmetricGroup at each size, tallied here in your browser; sizes past 8 are not offered.
FindStat St000334
The maz index, the major index of a permutation after replacing fixed points by zeros.
| Object | Value |
|---|---|
[1] | 0 |
[1,2] | 0 |
[2,1] | 1 |
[1,2,3] | 0 |
[1,3,2] | 2 |
[2,1,3] | 3 |
[2,3,1] | 2 |
[3,1,2] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000334 has the rest.