Kreweras's Narayana number identity has a simple Dyck path interpretation

Details Kreweras's Narayana number identity has a simple Dyck path interpretation Kreweras's Narayana number identity has a simple Dyck path interpretation

2012-03-18

arxiv.org/abs/1203.3999v1

Mathematics

Combinatorics

2 pages

Scientific paper

We show that an identity of Kreweras for the Narayana numbers counts Dyck
paths with a given number of peaks by number of peak plateaus, where a peak
plateau is a run of consecutive peaks that is immediately preceded by an upstep
and followed by a downstep.

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