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

[Peter Munn]

On Mon, March 2, 2020 4:58 pm, Peter Luschny wrote:
> NS> For me, without doubt, the best map is the classic map based
> NS> on the Stern's diatomic series (or Stern-Brocot sequence, A002487.
>
> For me it is the Euclid tree: A295515.

I cast my vote for the Sagher map, A071974(n)/A071975(n), which is nicely
multiplicative.

Best Regards,

 Peter

> NS> from 1858: Look at all the references there.
>
> Let's wait and see. In 160 years, we can count references again.
> If you have Maple you can also try this delightful implementation:
>
>     magic := x -> 1/(1 + floor(x) - frac(x)):
>
> And then run:
>
>     0; do magic(%) od;
>
> Cheers, Peter
>
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>