Humps for Dyck and for Motzkin paths

Details Humps for Dyck and for Motzkin paths Humps for Dyck and for Motzkin paths

2010-02-24

arxiv.org/abs/1002.4504v1

Mathematics

Combinatorics

Scientific paper

We calculate the total number of humps in Dyck and in Motzkin paths, and we
give Standard-Young-Tableaux-interpretations of the numbers involved. One then
observes the intriguing phenomena that the humps-calculations change the
partitions in a strip to partitions in a hook.

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