[seqfan] Re: Representation of real numbers by sequences

Neil Sloane njasloane at gmail.com
Tue May 19 09:14:39 CEST 2020

Links to pages that are not refereed, or that are likely to disappear in a
short while, are deprecated (discouraged).  One reason is that they are not
refereed.  Another reason is that every day we lose a lot of links even to
well-established web sites.  Another reason, as you remarked, is that too
often they are just self-advertising.

Universities for example are all the time changing their file tree
structure. And once the student or professor has left the university,
forget it.

With probability close to .95, if you click a link in the OEIS to  - well,
almost any kind of page except OEIS pages, - you will get a "not found"
error.  This is called Link Rot, and there is no cure.

What we try to do is, if the the page is worthwhile, put a copy on the OEIS
server. And ask permission if possible.  Everyone always replies "of course
you have my permission".

Best regards

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 Tue, May 19, 2020 at 2:23 AM Oscar Cunningham <mail at oscarcunningham.com>

> On 18/05/2020 13:07, Olivier Gerard wrote:
> > On Mon, May 18, 2020 at 3:01 PM Oscar Cunningham <
> mail at oscarcunningham.com>
> > wrote:
> >
> >> There has also been some interesting discussion of this blog post on
> >> reddit
> >> (
> >>
> https://old.reddit.com/r/math/comments/glhu6f/a_better_representation_for_real_numbers/
> ),
> >>
> >> in which someone pointed out that the sequence 0,1,2,3,... corresponds
> >> under this representation to the real number J_0(2)/J_1(2) where J is
> >> the Bessel function.
> > Sorry but I fail to see the point.
> >
> > The CF of J_0(2)/J_1(2)  as well as the CF of several constants of this
> > kind is already very simple
> >
> > As CFs of ratios of Bessel goes,  J_0(2)/J_3(2) is even better.
> > The integers interleaved with a constant 1, without a prefix.
> The point wasn't to represent any particular real number. Instead my
> objective was to make a system that could represent every real number in
> a uniform way, without having to worry about special cases or
> nonuniqueness of the representations. The fact that certain closed form
> expressions correspond to nice sequences is just an added bonus.
> On 18/05/2020 13:48, Giovanni Resta wrote:
> > Yes, I've seen the reddit post and the blog, it seems really interesting.
> >
> > Probably you should add a link to your relevant web page in
> > https://oeis.org/A301484 .
> Thanks! I will do. Is it okay for me to link to my own blog from a
> comment on the OEIS? It seems a bit bigheaded. :-)
> Oscar
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