arXiv:1002.4504 Abstract | arXiv Analytics

arXiv:1002.4504 [math.CO]Abstract References Reviews Resources

Humps for Dyck and for Motzkin paths

Published 2010-02-24Version 1

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.

Categories: math.CO

Subjects: 05C30

Keywords: motzkin paths, total number, humps-calculations change, partitions

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