PermutationBounce on Permutation
The sum of n - b over the bounce points b: the position of 1 in p, then the greatest position among the entries up to one past the last.
Called as CombinatorialStat(x, "PermutationBounce"). The head's page has its examples.
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FindStat St000133
The "bounce" of a permutation.
| Object | Value |
|---|---|
[1] | 0 |
[1,2] | 1 |
[2,1] | 0 |
[1,2,3] | 3 |
[1,3,2] | 2 |
[2,1,3] | 1 |
[2,3,1] | 0 |
[3,1,2] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000133 has the rest.