Trying to find patterns in numbers is one of the greatest challenges in mathematics. Some researchers make it their primary area of investigation, perhaps with entire projects devoted to developing algorithms for the task. The Journal of Integer Sequences is a collection of papers written by people such as these, whose work focuses on this or a related topic. Readers will find detailed discussions...

A book on recurrence sequences, an advanced topic in number theory, can be downloaded from this site. It deals mainly with linear recurrence sequences, and provides extensive theory, methods, and equations. While the material is quite complex, it has applications for various disciplines. The authors state, "these sequences appear almost everywhere in mathematics and computer science." The book is...