Problem 197

Investigating the behaviour of a recursively defined sequence

Given is the function `f`(`x`) = 2^{30.403243784-x2} 10^{-9} ( is the floor-function),

the sequence `u _{n}` is defined by

Find `u _{n}` +

Give your answer with 9 digits after the decimal point.

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These problems are part of
Project Euler
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