[seqfan] Re: is continued fraction expansion of 2^(1/3) bounded?
israel at math.ubc.ca
israel at math.ubc.ca
Mon Feb 8 04:08:58 CET 2016
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
>
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