# Category:Fibonacci Numbers

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This category contains results about Fibonacci Numbers.
Definitions specific to this category can be found in Definitions/Fibonacci Numbers.

The Fibonacci numbers are a sequence $\sequence {F_n}$ of integers which is formally defined recursively as:

$F_n = \begin {cases} 0 & : n = 0 \\ 1 & : n = 1 \\ F_{n - 1} + F_{n - 2} & : \text {otherwise} \end {cases}$

for all $n \in \Z_{\ge 0}$.