
Glossary: Prime Pages: Top 5000: 
Lucas numbers, named after French mathematician
Édouard Lucas (18421891), are numbers in the
sequence 1,3,4,7,11,18,29,... defined
by the recurrence relationv_{1} = 1, v_{2} = 3, v_{n+1} = v_{n} + v_{n1}which is very similar to the recurrence relation for the Fibonacci numbers: u_{1} = 1, u_{2} = 1, u_{n+1} = u_{n} + u_{n1}In fact, it was Edouard Lucas who gave the Fibonacci sequence its name. Lucas and Fibonacci numbers satisfy many interesting identities, a few of which are given here:
This page contributed by T. D. Noe
See Also: FibonacciNumber, FibonacciPrime, LucasPrime Related pages (outside of this work) References:
Chris K. Caldwell © 19992017 (all rights reserved)
