Baltic Way 2022 · Problem 2

Algebra

We define a sequence of natural numbers by the initial values $a_0=a_1=a_2=1$ and the recursion

a_n=\left\lfloor\frac{n}{a_{n-1}a_{n-2}a_{n-3}}\right\rfloor

for all $n\ge3$ . Find the value of $a_{2022}$ .

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Review

Sequences and recurrences

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Results from Baltic Way 2022

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