Peaks

The number of peaks of : interior positions with .

FindStatSt000023via Permutation✓↗St000015via DyckPath✓↗St001068via DyckPath✓↗

Peaks(p)the peak count of a one-line permutation

Domain: Permutation statistics

Details

• Only interior positions count (), so whenever
• Peaks and Valleys alternate along the sequence, so they differ by at most

Examples

See also: Valleys, Descents, SymmetricGroup