# Manuals/calci/LUCAS

LUCAS(n)

• is the number indicating the position.

## Description

• This function gives the Lucas series of the numbers.
• Lucas numbers are similar to the Fibonacci numbers.
• It is generated by added the last two numbers in the series.
• In  ,   is the numbers position, which is used to displaying the numbers in the given range.
• The difference between Lucas and Fibonacci numbers are with the first two terms   and  , but   and  .
• The Lucas numbers are defined by:
• The sequence of Lucas numbers is 2,1,3,4,7,11,18,29....
• The relation between Lucas and Fibonacci numbers are:

and :   where   is the Lucas series with   is the   Lucas number and   is the   Fibonacci number.

   This function will, give the result as error when    is non-numeric or n < 0


## Examples

1. =LUCAS(5)= 2 1 3 4 7 11
2. =LUCAS(0)= 2
3. =LUCAS(1)= 2 1
4. =LUCAS(3)= 2 1 3 4
5. =LUCAS(-1)=Null