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Bibliographic Details
Main Author: Prodinger, Helmut
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.13937
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Table of Contents:
  • Instead of $k$-Dyck paths we consider the equivalent concept of $k$-non-crossing trees. This is our preferred approach relative to down-step statistics modulo $k$ (first studied by Heuberger, Selkirk, and Wagner by different methods). One symmetry argument about subtrees is needed and the rest goes along the lines of a paper by Flajolet and Noy.