Art of Problem Solving
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Lucas Numbers

Lucas Numbers are a recursive sequence defined as \[L_0=2\\L_1=1\\L_n=L_{n-1}+L_{n-2}\].


The Lucas numbers $L_n$ are given by the recursion $L_0 = 2, L_1 = 1$, and $L_n = L_{n-1} + L_{n-2}$.


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