Template:Fibonacci

The following documentation is located at Template:Fibonacci/doc. [<Edit> Template:Fibonacci/doc]
[⧼Purge⧽ Template:Fibonacci]

The {{Fibonacci}} mathematical function template returns the

n

th Fibonacci number, where

n

is an integer. It uses Binet’s closed-form formula for the Fibonacci numbers.

Usage

{{Fibonacci|integer}}

Valid input

An integer argument.

Examples

Examples with valid input

Code	Result
{{Fibonacci|-5}}	5
{{Fibonacci|-4}}	-3
{{Fibonacci|-3}}	2
{{Fibonacci|-2}}	-1
{{Fibonacci|-1}}	1
{{Fibonacci|0}}	0
{{Fibonacci|1}}	1
{{Fibonacci|2}}	1
{{Fibonacci|3}}	2
{{Fibonacci|4}}	3
{{Fibonacci|5}}	5
{{Fibonacci|8}}	21
{{Fibonacci|10}}	55

Examples with invalid input

Code	Result (returns an error message)
{{Fibonacci}}
{{Fibonacci|3.25}}
{{Fibonacci|rabbits}}

Code

{{ifint| ( {{{1|NAN}}} )
| {{#expr: ( ( ((1 + 5^(1/2)) / 2)^( {{{1}}} ) - ((1 - 5^(1/2)) / 2)^( {{{1}}} ) ) / ( 5^(1/2) ) ) round 0 }}
| {{error| Fibonacci error: Argument must be an integer }}
}}

See also

• {{Fibonacci}}
• {{Lucas}}
• {{Golden ratio}} or {{phi}}