Lucas sequence

The Lucas sequence is a series of numbers similar to the Fibonacci sequence, where each number is the sum of the two preceding ones. It starts with 2 and 1, then continues: 3, 4, 7, 11, 18, and so on. Like Fibonacci numbers, Lucas numbers have interesting mathematical properties and appear in nature, art, and computer algorithms. The sequence is closely related to Fibonacci numbers, with each Lucas number being expressible in terms of Fibonacci numbers, making them a useful tool for various mathematical and scientific applications.