[seqfan] Re: Representation of real numbers by sequences
njasloane at gmail.com
Tue May 19 09:14:39 CEST 2020
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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
> >> (
> >> 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. :-)
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