## Lucas sequencesGeneralizations 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.## Related category• SERIES AND SEQUENCES | |||||

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