Manuals/calci/LUCAS

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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 numberss.
  • 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 L0=2 and L1=1, but F0=0 and F1=1.
  • 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: Ln=Fn+2Fn-1 and Fn=Ln-1+Ln+1\5

where L is the Lucas series with is the nth Lucas number and is the nth Fibonacci number.

   This function will give the result as error when  n is nonnumeric 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


See Also

References