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MathNet 2012 Question 46

Math Olympiad Vault · MathNet 2012

Question 46

How many possible ways of writing down a sequence of positive integers are there satisfying the following conditions?
Conditions: You start out with writing down the number $2012$ and end up with writing down the number $1$, and after writing down a number $n$ you follow with writing an integer less than or equal to $\sqrt{n}$.