Excedances

The number of excedances of : positions with .

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Excedances(p)the excedance count of a one-line permutation

Domain: Permutation statistics

Details

Equidistributed with Descents over : both are Eulerian statistics
A fixed point is neither an excedance nor an antiexcedance, so

Examples

See also: Antiexcedances, Descents, SymmetricGroup