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

Ami Eldar amiram.eldar at gmail.com
Mon Jun 22 07:18:47 CEST 2020


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/
>


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