[seqfan] Re: Anyone looking for a nice problem?

[Neil Sloane]

PS  After studying Poulet's paper, it looks like he gives recurrences which
generate the whole triangle.

Best regards
Neil

Neil J. A. Sloane, Chairman, OEIS Foundation.
Also Visiting Scientist, Math. Dept., Rutgers University,
Email: njasloane at gmail.com



On Tue, Mar 8, 2022 at 11:50 PM Neil Sloane <njasloane at gmail.com> wrote:

> I've been going through my 50-year old scans of pages from
> L'Intermédiaire des Mathématiciens, and in volume 26 (from 1919) I found a
> triangle from the great Belgian mathematician Paul Poulet that did not
> make it into the OEIS until exactly 100 years later,  A326411.
>
> Poulet's definition seems easier to understand than the recent one, so I
> scanned his article, see the entry. The photocopy I have is not great, so I
> scanned it at 600 dpi.
>
> The problem is to find a general formula for the entries.  As far as I can
> tell, neither Poulet nor Tatkiewicz found a formula that explains the whole
> triangle.
>
> There are connections with A002816 and A002464.
>
> Best regards
> Neil
>
> Neil J. A. Sloane, Chairman, OEIS Foundation.
> Also Visiting Scientist, Math. Dept., Rutgers University,
> Email: njasloane at gmail.com
>
>