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MathNet 2024-part-02 — 168 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)

Question 116

The sequence $\left(a_{n}\right)$ is defined by $a_{0}=a_{1}=a_{2}=1$ and, for $n \geqslant 3$:
$$
a_{n}=\left\lfloor\frac{n}{a_{n-1} a_{n-2} a_{n-3}}\right\rfloor
$$
Determine $\mathrm{a}_{2022}$.