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 rule or pattern, such as adding a fixed number to the previous term. For example, the sequence 1, 2, 3, 4, 5 increases by 1 each time. Some famous integer sequences include the Fibonacci sequence, where each number is the sum of the two preceding ones, and the prime numbers, which are numbers greater than 1 that have no divisors other than 1 and themselves. Integer sequences are important in various fields, including mathematics and computer science.