# [seqfan] Re: Sliding numbers A103182

hv at crypt.org hv at crypt.org
Sat Nov 26 18:51:31 CET 2022

```Life would have been way easier if A103182 had not contained duplicates,
and a second sequence (if needed) had been added to show the number of
(r,s) pairs that could generate each a(n).

As it is, since it is far too late to change the content, my inclination
would be to append "(with repetitions)" to the original name, and have
a comment explaining what that means.

Hugo van der Sanden

Hugo Pfoertner <yae9911 at gmail.com> wrote:
:I agree with any name that clearly shows that terms like 205 or 2050 can
:occur more than once in DATA. I could not derive this statement from the
:old name. That's why I asked for a better name.
:
:On Sat, Nov 26, 2022 at 6:52 PM Neil Sloane <njasloane at gmail.com> wrote:
:
:> Dear Seq Fans,  Eric Angelini submitted A103182 in 2005. The definition was
:>
:>
:> Sliding numbers: numbers n of the form n = r+s where 1/r + 1/s = (r+s)/10^k
:> for some k >= 1.
:>
:> with these examples:
:>
:> 1/4 + 1/25 = 0.29 --> 29 is a "sliding number"
:>
:> 1/8 + 1/125 = 0.133 --> 133 is a "sliding number"
:>
:> 1/2 + 1/5 = 0.7 --> 7 is a "sliding number"
:>
:> Today the definition is:
:>
:>
:> a(n) occurs t times where t is the number values m can take to write k as
:> (r + s) where 1/r + 1/s = (r + s)/10^m.
:>
:> (and there is no mention of "sliding number")  It seems to me that the
:> original definition was far better.  The reason I'm posting this to the Seq
:> Fans List is that a large number of editors were involved in this name
:> change (see the History tab).  So I feel I should not simply change the
:> definition back to what it was.
:>
:> But the present definition is pretty awful, even if "number values" is
:> changed to "number of values".
:>
:> I propose to restore the original definition, unless someone has a better
:> suggestion!
:>
:> Best regards
:> Neil
:>
:> Neil J. A. Sloane, Chairman, OEIS Foundation.
:> Also Visiting Scientist, Math. Dept., Rutgers University,
:> Email: njasloane at gmail.com
:>
:> --
:> Seqfan Mailing list - http://list.seqfan.eu/
:>
:
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