超级繁分数

1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 1 1 + 1 1 + 1 1 + 1 1 + 1 1 + 1 2 1 + \dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{2}}}}}}1+}}}}}}}}}}}}}}}}}}}}}}

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