The infinite sequence is defined as follows:
a₁=1
for n ≥ 1, a_2n= a_n+1
a_2n+1=1/ a_2n

Prove that every positive rational number occurs in the sequence exactly once.

(In reply to re(3): From N/D to n @ jer & Charlie by Steve Herman)

Charlie's and yours remarks caused my rechecking of the facts.

I've seriously erred, and wrote my post due to misinterpretation

of the chain of  tasks.

To minimize the damage I am going to erase the unfortunate letter.

All  is well that ends well.

Posted by Ady TZIDON on 2016-08-29 17:08:28