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Lucas sequences




Generalizations of the Fibonacci sequence first investigated by Edouard Lucas. One kind can be defined as follows: L(0) = 0, L(1) = 1, L(n+2) = PL(n+1) + QL(n), where the normal Fibonacci sequence is the special case of P = Q = 1. Another kind of Lucas sequence begins with L(0) = 2, L(1) = P. Such sequences are used in number theory and in testing for prime numbers.


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   • SERIES AND SEQUENCES