  There are several standard procedures used to create new sequences from a
given sequence or from a given pair of sequences. In this paper I discuss the
most popular of these procedures. For each procedure, I give a definition and
provide examples based on three famous sequences: the natural numbers, the
prime numbers and the Fibonacci numbers. I also add my thoughts on what makes a
sequence interesting. My goal is to help my readers invent new sequences,
differentiate interesting sequences from boring ones, and better understand
sequences they encounter.
