Some Arithmetic Properties of Eulerian Numbers

Arnold Knopfmacher1, Neville Robbins2
1 Centre for Applicable Analysis and Number Theory University of the Witwatersrand Johannesburg, South Africa
2 Mathematics Departinent San Francisco State University San Francisco, CA 94132

Abstract

Eulerian numbers may be defined recursively and have applications to many branches of mathematics. We derive some congruence and divisibility properties of Eulerian numbers.