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MaximalJump on Permutation ​

The largest |p(i+1) - p(i)|.

On Permutation

Called as CombinatorialStat(x, "MaximalJump"). The head's page has its examples.

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Distribution

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FindStat St001246

The maximal difference between two consecutive entries of a permutation.

ObjectValue
[1,2]1
[2,1]1
[1,2,3]1
[1,3,2]2
[2,1,3]2
[2,3,1]2
[3,1,2]2
[3,2,1]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001246 has the rest.