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Introduction to Recursive Numbers

Explore the concept of recursive numbers and how recurrence relations generate sequence terms in dynamic programming. Understand base and recursive cases, identify suitable problems, and see real-world applications in number theory and combinatorics.

Overview

A recursive number is a number that can be generated from a sequence of one or more previous terms through a recurrence relation. A recurrence relation is an equation that uses recursion to relate the terms in a sequence. That means the nthnth term of a sequence can be generated from its previous ...

In this pattern, we will be discussing 11 problems related to the this pattern. The following diagram shows an overview of these problems.

Problems explored in Recursive Numbers pattern

A recursive function is a function that calls itself with a reduced problem set. A recursive function has the following:

  1. The base case, a trivial case that can be solved easily
  2. The recursive case, a case that implements the recurrence relation

An example of recurrence relation for finding the ...