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# CPHill, I have a question about logarithms and functions too.

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CPHill, I have a question about logarithms and functions too.

Let {  \(n^2+1\)    if n is odd.

{  \(\dfrac{n}{2}\)    if n is even.

For how many integers n from 1 to 100, inclusive, does \(f(f(...f(n)...)) = 1\) for some number of applications of f?

Thanks!

Dec 23, 2018

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Afraid I don't know this one, PM......

Maybe someone else does  ????

Dec 23, 2018
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\(n=2^k,~k=0,1,\dots,6\)

Dec 23, 2018
edited by Rom  Dec 23, 2018