[seqfan] Re: Canonical bijection from positive integers to positive rationals.

[Neil Sloane]

I don't think we need to choose an official OEIS map, that would be
presumptuous.  And would not have much effect.

For me, without doubt,  the best map is the classic map based on the
Stern's diatomic series (or Stern-Brocot sequence,  from 1858: A002487.
Look at all the references there.

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



On Mon, Mar 2, 2020 at 11:14 AM Frank Adams-watters via SeqFan <
seqfan at list.seqfan.eu> wrote:

> There are two pairs of sequences claiming to be the canonical bijection
> from positive integers to positive rationals:
>
> A020652/A020653, and
> A038568/A038569.
>
> Which do we want to actually be our canonical sequence?
>
> I favor A020652/A020653. It seems cleaner to me.
>
> Compare A038566/A038567, which is the basis for both of these.
>
> Franklin T. Adams-Watters
>
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