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(2): From N/D to n @ jer & Charlie by Jer)

I confirm that Jer had made no edit at the time of Ady's accusation.  I looked at Jer's entry a few hours ago (before making my own), and it was unedited at that time.

Posted by Steve Herman on 2016-08-29 09:36:19