Need help writing a recursive formula for the following sequence

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$$a_n = \lceil n−1/n \rceil$$

Hey Everyone, I am new here made an account because this question has stomped me for a bit, for a normal sequence I have a pretty easy time writing a recursive sequence but this one has completely stomped me if anyone can help guide me with some work and steps it would really help me

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$a_{1} = 0, a_{2} = 2$ and $a_{n+1} = 1+ a_{n}$ for $n > 1$.