[seqfan] Need help with interesting sequences suggested by Feb 2021 Monthly

[Neil Sloane]

The article
Hongjian Li , Pingzhi Yuan & Hairong Bai (2021) Positive Rational Numbers
of the Form φ( m^2 ) / φ( n^2 ) , American Mathematical Monthly, 128:2,
174-176, DOI: 10.1080/00029890.2021.1850142

shows that for every positive rational number there corresponds a unique
pair of integers (m,n) satisfying certain properties.  They only give one
example.

It might be interesting to apply their procedure to the standard  list of
rational numbers arranged in the order

1/1, 1/2, 2/1, 1/3, 3/1, 2/3, 3/2, 1/4, 4/1, 3/4, 4/3, ... (this is A038568
<https://oeis.org/A038568>/A038569 <https://oeis.org/A038569>).

Look at the m values and the n values that are obtained. Two potential
sequences for the OEIS!

If anyone needs a copy of the article let me know.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com