Some Deep and Original Questions about the "critical exponents" of Generalized Ballot Sequences
Combinatorics
2021-05-31 v2 Mathematical Physics
math.MP
Abstract
We numerically estimate the critical exponents of certain enumeration sequences that naturally generalize the famous Catalan and super-Catalan sequences, and raise deep and original questions about their exact values, and whether they are rational numbers. In this version we announce that our questions were brilliantly answered by Michael Wallner, and that the pledged donation to the OEIS, in his honor, was made.
Keywords
Cite
@article{arxiv.2104.01731,
title = {Some Deep and Original Questions about the "critical exponents" of Generalized Ballot Sequences},
author = {Shalosh B. Ekhad and Doron Zeilberger},
journal= {arXiv preprint arXiv:2104.01731},
year = {2021}
}
Comments
9 pages; Accompanied by a Maple package and output files available from https://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/capone.html