MidPointsOfOccurrencesOf123 on Permutation
Positions that are the middle of a 123 occurrence.
Called as CombinatorialStat(x, "MidPointsOfOccurrencesOf123"). 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 St000372
The number of mid points of increasing subsequences of length 3 in a permutation.
| Object | Value |
|---|---|
[1] | 0 |
[1,2] | 0 |
[2,1] | 0 |
[1,2,3] | 1 |
[1,3,2] | 0 |
[2,1,3] | 0 |
[2,3,1] | 0 |
[3,1,2] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000372 has the rest.