For Fibonacci numbers and the golden ratio, you can find one practical answer in search algorithms. It's fairly common to have to find the maximum or minimum of a mathematical function f (x) between ...

Famous examples include the prime numbers—numbers that can be divided only by themselves and 1 (A000040); the Fibonacci sequence, in which each term is the sum of the previous two terms (A000045 ...

The Fibonacci sequence is a series of numbers in which each number is the sum of the two that precede it. Starting at 0 and 1, the first 10 numbers of the sequence look like this: 0, 1, 1, 2, 3, 5 ...

After dividing 1 by 999-quattuordecillion (a number that’s 48 integers long), you get the Fibonacci sequence presented in neat, 24-digit strings. Here’s why that happens.

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. It is closely related to the golden ratio, which appears in various natural and artistic contexts.

This spruce cone displays a marked fibonacci number sequence. The sequence, thought up by 13th-century Italian mathematician Leonardo of Pisa, pen name Fibonacci, plays out in plants, from pine ...

The Fibonacci sequence is a famous group of numbers beginning with 0 and 1 in which each number is the sum of the two before it. It begins 0, 1, 1, 2, 3, 5, 8, 13, 21 and continues infinitely.

The numbers 3, 5, 8, 13, and 21 are all Fibonacci numbers—members of a sequence in which successive numbers are sums of the preceding two numbers, starting with 1 and 1: 1, 1, 2, 3, 5, 8, 13, 21 ...