Thursday, 13 August 2015

calculus - $a_{n+1}=a_n+frac{1}{a_n}$ where $a_{1}=1$. Is $f(n)=a_n$ an elementary function?








Suppose $$a_{n+1}=a_n+\frac{1}{a_n}$$ where $a_{1}=1$. Is $f(n)=a_n$ an elementary function?



I haven't found any paper concerning it. Thanks for your attention!

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