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Middle and Ripple, fast simple O(lg n) algorithms for Lucas Numbers
Lucas numbers algorithms iteration recursion Fibonacci
2011/3/1
A fast and simple O(log n) iteration algorithm for individual Lucas numbers is given. This is faster than using Fibonacci based methods because of the structure of Lucas numbers. Using a √5 conversion...
Rational Identities and Inequalities involving Fibonacci and Lucas Numbers
Rational Identities and Inequalities Sequences of Integers Fibonacci and Lucas numbers
2008/6/27
In this paper we use integral calculus, complex variable techniques and some classical inequalities to establish rational identities and inequalities involving Fibonacci and Lucas numbers.