+0  
 
+4
959
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avatar+773 

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
 #1
avatar+128090 
0

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

 

Maybe someone else does  ????

 

 

cool cool cool

 Dec 23, 2018
 #2
avatar+6244 
+1

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

 Dec 23, 2018
edited by Rom  Dec 23, 2018

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