The art of algorithmic guessing in gfun

Abstract

The technique of guessing can be very fruitful when dealing with sequences which arise in practice. This holds true especially when guessing is performed algorithmically and efficiently. The ideal tool for it exists as a package named gfun in the software Maple. In this text we explore and explain some of gfun's possibilities and illustrate them on two examples from recent mathematical research by the author and his collaborators.