I'm in a problem where I have to solve the following functional equation :(adsbygoogle = window.adsbygoogle || []).push({});

[tex]F(n)^2=n+F(n+1)[/tex]

Does anyone know some methods to solve this kind of problems ?

A similar equation happens in Ramanujan example of root denesting : http://en.wikipedia.org/wiki/Nested_radical#Square_roots

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# How to solve this functional (recurrence) equation ?

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