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Lucas sequence

In mathematics, the Lucas sequencesUn(P,Q){\displaystyle U_{n}(P,Q)} and Vn(P,Q){\displaystyle V_{n}(P,Q)} are certain constant-recursiveinteger sequences that satisfy the recurrence relationxn=P⋅xn−1−Q⋅xn−2{\displaystyle x_{n}=P\cdot x_{n-1}-Q\cdot x_{n-2}}where P{\displaystyle P} and Q{\displaystyle Q} are fixed integers.

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