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- Thread starter Mappe
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S.G. Janssens

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Samy_A

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You may want to have a look at generating functions.

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Ssnow

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## a_{n}=\frac{1+a_{n-1}}{a_{n-1}}## with initial data ##a_{0}=1 ##.

You can search a limit solving ## l=\frac{1+l}{l} ## that gives you ##l^2-l-1=0## so ## l=\frac{1}{2}\pm\frac{\sqrt{5}}{2}##. A good candidate is ##\frac{1}{2}+\frac{\sqrt{5}}{2}##.

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