  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. One highly useful tool for this purpose is the
package named $\texttt{gfun}$ in the software Maple. In this text we explore
and explain some of $\texttt{gfun}$'s possibilities and illustrate them on two
examples from recent mathematical research by the author and his collaborators.
