AugmentedDoubleAscents on Permutation
Positions i with w(i) < w(i+1) < w(i+2) in the word w = 0 p(1) ... p(n).
Called as CombinatorialStat(x, "AugmentedDoubleAscents"). The head's page has its examples.
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FindStat St001948
The number of augmented double ascents of a permutation.
| Object | Value |
|---|---|
[1,2] | 1 |
[2,1] | 0 |
[1,2,3] | 2 |
[1,3,2] | 1 |
[2,1,3] | 0 |
[2,3,1] | 1 |
[3,1,2] | 0 |
[3,2,1] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001948 has the rest.