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

[Neil Sloane]

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.
>
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