InversionsOfCyclicEmbedding on Permutation
The inversions of the cycle (p(1), ..., p(n), n + 1), as a permutation of n + 1.
Called as CombinatorialStat(x, "InversionsOfCyclicEmbedding"). The head's page has its examples.
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FindStat St001074
The number of inversions of the cyclic embedding of a permutation.
| Object | Value |
|---|---|
[1,2] | 2 |
[2,1] | 2 |
[1,2,3] | 3 |
[1,3,2] | 5 |
[2,1,3] | 3 |
[2,3,1] | 5 |
[3,1,2] | 3 |
[3,2,1] | 3 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001074 has the rest.