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Rafts on Permutation ​

Maximal runs of consecutive successions p(i+1) = p(i) + 1.

On Permutation

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

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Distribution

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FindStat St000665

The number of rafts of a permutation.

ObjectValue
[]0
[1]0
[1,2]1
[2,1]0
[1,2,3]1
[1,3,2]0
[2,1,3]0
[2,3,1]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000665 has the rest.