CycleAsOneLinePreimageSize on Permutation
The permutations whose cycles, each from its least point and in order of those, read p as one word.
A cycle may start at each right-to-left minimum after the first entry, which must be 1.
Called as CombinatorialStat(x, "CycleAsOneLinePreimageSize"). The head's page has its examples.
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FindStat St000279
The size of the preimage of the 'cycle-as-one-line notation' map from Permutations to Permutations.
The size of the preimage of the 'cycle-as-one-line notation' map from Permutations to Permutations. The 'cycle-as-one-line notation' map is Mp00090.
| Object | Value |
|---|---|
[1,2] | 2 |
[2,1] | 0 |
[1,2,3] | 4 |
[1,3,2] | 2 |
[2,1,3] | 0 |
[2,3,1] | 0 |
[3,1,2] | 0 |
[3,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000279 has the rest.