# [seqfan] Re: Sliding numbers A103182

Tom Duff eigenvectors at gmail.com
Sat Nov 26 19:09:40 CET 2022

```Yeah. Maybe fix the comments as well. One starts "Note that 1/20 + 1/50 =
0.70", but 1/20+1/50=0.07,
and one confusingly switches notation, using a and b for r and s.

On Sat, Nov 26, 2022 at 9:52 AM 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/
>

```