2023 IMO Problems/Problem 3
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Problem
For each integer 
, determine all infinite sequences of positive integers 
for which there exists a polynomial 
of the form 
, where 
are non-negative integers, such that
![\[P\left(a_n\right)=a_{n+1} a_{n+2} \cdots a_{n+k}\]](http://latex.artofproblemsolving.com/8/6/e/86e9095fe41091db78cfab1b7c22211df21037aa.png)
for every integer 
.
Solution
https://www.youtube.com/watch?v=JhThDz0H7cI [Video contains solutions to all day 1 problems]
