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In mathematics, the '''Fibonacci sequence''' is a [[Integer sequence|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 {{nowrap|{{math|''F<sub>n</sub>''}}{{space|hair}}}}. Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1<ref>Richard A. Brualdi, ''Introductory Combinatorics'', Fifth edition, Pearson, 2005</ref><ref>Peter Cameron, ''Combinatorics: Topics, Techniques, Algorithms'', Cambridge University Press, 1994</ref> and some (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the sequence begins
: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,
[[File:Fibonacci Squares.svg|thumb|A tiling with [[square]]s whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21]]
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