DescentsAfterZeroingFixedPoints on Permutation
The descents of the word with every fixed point replaced by 0.
Called as CombinatorialStat(x, "DescentsAfterZeroingFixedPoints"). The head's page has its examples.
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FindStat St000333
The dez statistic, the number of descents 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] | 1 |
[2,1,3] | 2 |
[2,3,1] | 1 |
[3,1,2] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000333 has the rest.