Fibonacci number

integer in the infinite Fibonacci sequence

AI overview

The Fibonacci sequence is an infinite list of numbers where each number is the sum of the two numbers before it, starting with 0 and 1 (so it goes 0, 1, 1, 2, 3, 5, 8, 13, and so on). These numbers show up surprisingly often in nature and mathematics, making them interesting to mathematicians and scientists who study patterns in the world around us.

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Commons category: Fibonacci numbers
Stack Exchange tag: math.stackexchange.com/tags/fibonacci-numbers

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Article

In mathematics, the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The initial elements of the sequence are F1 = 1 and F2 = 1, though many authors also include a zeroth element F0 = 0. Starting from F0, the sequence begins

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... (sequence A000045 in the OEIS)