Number sequences are sets of numbers that follow a pattern or a rule. Each number in a sequence is called a term. A sequence which increases or decreases by the same amount each time is called a ...

Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to add or subtract a number each time, it is called an arithmetic sequence. If the rule is to multiply or divide by ...

Combinatorial enumeration and pattern avoidance represent a vibrant area of modern discrete mathematics, where the objective is to count and characterise structures subject to specific constraints.