An Experimental Mathematics Approach to the Area Statistic of Parking Functions
Combinatorics
2018-06-08 v1
Abstract
We illustrate the experimental, empirical, approach to mathematics (that contrary to popular belief, is often rigorous), by using parking functions and their "area" statistic, as a case study. Our methods are purely finitistic and elementary, taking full advantage, of course, of our beloved silicon servants.
Keywords
Cite
@article{arxiv.1806.02680,
title = {An Experimental Mathematics Approach to the Area Statistic of Parking Functions},
author = {Yukun Yao and Doron Zeilberger},
journal= {arXiv preprint arXiv:1806.02680},
year = {2018}
}
Comments
16 pages. Accompanied by a Maple package and input and output files available from <A HREF="http://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/par.html">thus url</A>