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

[Antti Karttunen]

On 3/3/20, Peter Munn <techsubs at pearceneptune.co.uk> wrote:
> Update: Having found another nice bijection in A229994(n)/A077610(n), I
> have listed this and others mentioned in this thread in the crossrefs for
> A071974.

Peter(s),

please see https://oeis.org/wiki/Index_to_OEIS:_Section_Fo#fraction_trees
and update it, if the pairs of sequences you have mentioned can be
viewed as trees in any way (like A002487).

Best regards,

Antti


>
> If seqfans add any other bijective mappings that are in OEIS, then at some
> point these can be copied to the other sequences.
>
> Best Regards,
> Peter
>
> On Mon, March 2, 2020 8:08 pm, Peter Munn wrote:
>> 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
>>> --
>>> Seqfan Mailing list - http://list.seqfan.eu/
>> --
>> Seqfan Mailing list - http://list.seqfan.eu/
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