**Place:** Mudd 303

**Time:** 4:00pm

**Speaker:** Doron Zeilberger, Rutgers University

**Title:** How do I walk to thee? Let me count the
ways

**Abstract:** Suppose that you are in Manhattan at the corner of 0th
Street and 0th Avenue
and your lover is at the corner of n^{th} St. and n^{th}
Ave. , in how many ways can you
walk to him?, if you want to get there as soon as possible.
This is an easy exercise if you avoid Broadway. But if Broadway is
allowed, or you are drunk,
or Manhattan is d-dimensional (d > 2), or you are a Chess Rook?
(walking positively, but you
are in no hurry), or a Chess Queen? (with the same conditions)
then you better use a computer, not just to get
**numeric** answers (for numeric n), but to get **symbolic**
answers (i.e. "formulas"), in terms of n
(with an appropriate poetic license for the use of the word *formula*).

[Note, this talk covers some of the material in this article (by DZ), as well as this article (by Manuel Kauers and DZ) as well as this article (by Manuel Kauers, Christoph Koutschan and DZ) as well as a forthcoming article by Manuel Kauers and DZ, for which so far there is only this webpage (prepared by Manuel Kauers).]