CyclicDescents on Permutation

Descents of p read cyclically, counting position n when p(n) > p(1).

On Permutation

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

Live

Distribution

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Sizes 1 to

FindStat St000619

The number of cyclic descents of a permutation.

Object	Value
[1,2]	1
[2,1]	1
[1,2,3]	1
[1,3,2]	2
[2,1,3]	2
[2,3,1]	1
[3,1,2]	1
[3,2,1]	2

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000619 has the rest.