[seqfan] Re: Representation of real numbers by sequences

[Olivier Gerard]

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.

Best regards,

Olivier Gérard