An integer sequence is a list of numbers arranged in a specific order, where each number is an integer. These sequences can follow a particular pattern or rule, such as adding a constant value or multiplying by a fixed number. Examples include the sequence of natural numbers 1, 2, 3, 4, ... and the Fibonacci sequence 0, 1, 1, 2, 3, 5, ..., where each number is the sum of the two preceding ones. Integer sequences are important in various fields, including mathematics and computer science. They can be used to solve problems, analyze patterns, and develop algorithms. The study of integer sequences is often associated with number theory and can lead to discoveries in combinatorics and graph theory.