[seqfan] Re: is continued fraction expansion of 2^(1/3) bounded?

[Neil Sloane]

Robert, Thanks for that important comment, which explains a great deal. I
have taken the liberty of adding a version of the comment to A181495.

Best regards
Neil

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 Sun, Feb 7, 2016 at 10:08 PM, <israel at math.ubc.ca> wrote:

> The 19 terms currently present in A181495 require computing at least
> 12918396 terms of the continued fraction of 2^(1/3). I don't know how many
> more were computed without finding another term, but the given Mma code
> computes 20000000. I think that's numerically very demanding, requiring
> terrifically high precision. Maybe somebody can grind out a few more terms,
> but I doubt we'll get enough to require a b-file.
>
> Cheers,
> Robert
>
> On Feb 7 2016, Neil Sloane wrote:
>
> It seems that this is an open problem.  See A002945, A181495, A268515.  The
>> last two need more terms, or even better, b-files
>> .
>> Best regards
>> Neil
>>
>> 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
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>>
>>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>