### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Brian Nakamura**, Rutgers University, bnaka {at} math [dot] rutgers [dot] edu
** Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: Valuations of classical sequences

Speaker: **Victor Moll**, Tulane University

Date: Thursday, November 17, 2011 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

For a prime p and a positive integer x, the p-adic valuation of x is the highest power of p that divides x. The goal of the talk is to present a small collection of examples of p-adic valuations of classical sequences xn. Discrete objects attached to these p-adic sequences, usually help in conjecturing their long-time behavior. Examples include Fibonacci, Stirling and Catalan numbers, as well as harmonic numbers and the ASM numbers (these count the Alternating Sign Matrices).

See: http://www.math.rutgers.edu/~bnaka/expmath/