[seqfan] Re: What's special about this fraction?

[Neil Sloane]

Of course there is the Index to Fractions in the OEIS.

but that only gives the initial terms, a bare-bones description, and the
A-number

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 Mon, Sep 28, 2020 at 8:00 AM Alonso Del Arte <alonso.delarte at gmail.com>
wrote:

> Is there a page like Erich Friedman's about rational numbers in general? It
> wouldn't need to have too many integers since Friedman already covered them
> so well.
>
> −1 is its own reciprocal
> −1/2 is the real part of ω
> 0 has no reciprocal
> 137174210/1111111111 =
> 0.12345678901234567890123456789012345678901234567890... (A010879)
> 1/3 has the same representation in binary as in negabinary:
> 0.010101010101010101010101...
> 1/2 is the real part of all nontrivial zeroes of the zeta function
> (assuming the Riemann hypothesis)
> 69854/70123 is the greatest fraction not greater than 1 such that in base
> 10
> 1 is its own reciprocal
> 22/7 approximates π
>
> --
> Alonso del Arte
> Author at SmashWords.com
> <https://www.smashwords.com/profile/view/AlonsoDelarte>
> Musician at ReverbNation.com <http://www.reverbnation.com/alonsodelarte>
>
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