Fibonacci sequence

Etymology
Named after the Italian mathematician later known as (c.1175 – c.1250), who introduced the sequence to a European readership in his 1202 book .

Noun

 * 1)  The sequence of integers, each of which is the sum of the preceding two, the first and second numbers both being 1.
 * 2)  Any sequence of numbers such that each is the sum of the preceding two.
 * 3) * 2007, Anthony Nicolaides, Make The Grade At GCSE Mathematics, Higher Tier, P.A.S.S. Publications, 3rd Edition, page 169,
 * 19. The first two terms of a Fibonacci sequence are a and b. Write out a few terms.
 * 1)  Any sequence of numbers such that each is the sum of the preceding two.
 * 2) * 2007, Anthony Nicolaides, Make The Grade At GCSE Mathematics, Higher Tier, P.A.S.S. Publications, 3rd Edition, page 169,
 * 19. The first two terms of a Fibonacci sequence are a and b. Write out a few terms.
 * 19. The first two terms of a Fibonacci sequence are a and b. Write out a few terms.

Usage notes
In modern usage, the sequence is often defined by specifying 0 as the zeroth number and 1 as the first. The notation $$F(n)$$ is often used for the nth number in the sequence.

Translations

 * Chinese:
 * Mandarin: 斐波那契數列
 * Czech: Fibonacciho posloupnost
 * Estonian: Fibonacci rida
 * Finnish: Fibonaccin lukujono
 * French:
 * German:
 * Hungarian:
 * Italian: successione di Fibonacci
 * Japanese:
 * Portuguese: sucessão de Fibonacci, sequência de Fibonacci
 * Russian: после́довательность Фибона́ччи
 * Turkish: