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I’ve established that a_1=1 since a_3=5, but now I’m stuck. 

In addition to the solution, I need to know how to prove this with induction.

 Jan 18, 2019
 #1
avatar+28125 
+3

 

This just reproduces the odd integers, so a128 = 2*128 - 1 → 255

 Jan 19, 2019
 #2
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Thanks Alan. 

That is interesting. It looked so complicated.  surprise

Melody  Jan 19, 2019
 #3
avatar+28125 
+3

Here's a derivation of the relation:

 

 

NB For the person who posted the question:  Please note that this is not a proof by induction!

Alan  Jan 20, 2019
edited by Alan  Jan 20, 2019
 #4
avatar+102803 
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Thanks Alan :)

Melody  Jan 20, 2019

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