[seqfan] Re: A032435 and A032436 Josephus problem data mismatch

Olivier Gerard olivier.gerard at gmail.com
Mon Jun 22 08:24:10 CEST 2020


Thanks to Jean-Paul Allouche who found it by other means, I have
now forwarded the relevant page to all interested parties.

If there are other people wanting to read it, I will forward it to them.

Olivier Gérard
Seqfan Mailing List Administrator



On Mon, Jun 22, 2020 at 9:00 AM Ami Eldar <amiram.eldar at gmail.com> wrote:

> The book "Mathematical Recreations" by  Kraitchik can be borrowed (freely
> browsed for a limited time) at the Internet Archive:
> https://archive.org/details/mathematicalrecr0002krai
> https://archive.org/details/mathematicalrecr0000krai
> https://archive.org/details/mathematicalrecr00krai
>
>
>
> On Mon, Jun 22, 2020 at 5:52 AM Neil Sloane <njasloane at gmail.com> wrote:
>
> > The refs for A032435 are Ball-Coxeter, and one of Kraitchik's books.  I
> > checked Ball-Coxeter, but it was not helpful (though I only skimmed it).
> > I have three of Kraitchik's books, but apparently not that one.  So that
> > would be the next place to check.  Maybe it is online somewhere?
> >
> > 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, Jun 21, 2020 at 9:51 PM Sean A. Irvine <sairvin at gmail.com>
> wrote:
> >
> > > Hi all,
> > >
> > > The triangles in A032434 through A032436 concern the Josephus problem.
> > > That's the problem where n people stand in a circle and then you go
> round
> > > and round killing every k-th person until nearly everyone is dead.
> > >
> > > The data in A032435 and A032436 do not match what I expect.
> > >
> > > There are links from these sequences into Mathworld.  The Mathworld
> entry
> > > contains two triangles which do contain the data I expect and which
> also
> > > point back to these OEIS entries.  Neither of the triangles in the
> > > Mathworld entry actually seem to be present in the OEIS.
> > >
> > > However, we don't simply want to replace the existing data in A032435
> and
> > > A032436, since the current data values are likely related to this
> problem
> > > somehow.  I spent a couple of hours looking at the current data values
> > and
> > > could not determine an explanation, perhaps someone else will have more
> > > success.
> > >
> > > Sean.
> > >
> > > --
> > > Seqfan Mailing list - http://list.seqfan.eu/
> > >
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>


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