Template:Lucas/doc

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The {{Lucas}} mathematical function template returns the

n

th Lucas number, where

n

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

Usage

{{Lucas|integer}}

Valid input

An integer argument.

Examples

Examples with valid input

Code	Result
{{Lucas|-5}}	-11
{{Lucas|-4}}	7
{{Lucas|-3}}	-4
{{Lucas|-2}}	3
{{Lucas|-1}}	-1
{{Lucas|0}}	2
{{Lucas|1}}	1
{{Lucas|2}}	3
{{Lucas|3}}	4
{{Lucas|4}}	7
{{Lucas|5}}	11
{{Lucas|8}}	47
{{Lucas|10}}	123

Examples with invalid input

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

Code

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

See also

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