AdjacentCycles on Permutation
Cycles of the form (a, a+1, ..., a+k), fixed points included.
Called as CombinatorialStat(x, "AdjacentCycles"). The head's page has its examples.
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FindStat St000153
The number of adjacent cycles of a permutation.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[1,2] | 2 |
[2,1] | 1 |
[1,2,3] | 3 |
[1,3,2] | 2 |
[2,1,3] | 2 |
[2,3,1] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000153 has the rest.