Lucas numbers

The Lucas numbersMathworldPlanetmath are a slight variation of Fibonacci numbersDlmfMathworldPlanetmath. These numbers follow the same recursion:


but having different initial conditionsMathworldPlanetmath: l1=1,l2=3 leading to the sequence 1,3,4,7,11,18,29,47,76,123,.

Lucas numbers have the following property: ln=fn-1+fn+1 where fn is the nth Fibonacci number.

Title Lucas numbers
Canonical name LucasNumbers
Date of creation 2013-03-22 12:19:58
Last modified on 2013-03-22 12:19:58
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 8
Author Mathprof (13753)
Entry type Definition
Classification msc 11B39
Synonym Lucas sequence
Related topic FibonacciSequence