[seqfan] Re: A new sequence in Dutch magazine "Pythagoras"

Neil Sloane njasloane at gmail.com
Fri Dec 2 07:35:17 CET 2016


I didn't want to leave this up in the air, so I created the entry for it:
see A278586.  Feel free to improve it.

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 Thu, Dec 1, 2016 at 11:10 PM, Robert G. Wilson v <rgwv at rgwv.com> wrote:

> f[n_] := Length@ NestWhileList[# - Ceiling[#/n] &, n^2, # > 1 &];
> Array[f, 65]
>
> -----Original Message-----
> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Jon
> Schoenfield
> Sent: Thursday, December 01, 2016 7:41 PM
> To: Sequence Fanatics Discussion list
> Subject: [seqfan] Re: A new sequence in Dutch magazine "Pythagoras"
>
> The following Magma code gives the same set of terms as those listed for
> Pim Spelier's sequence on p. 20 of Pythagoras:
>
> a:=[];
> for n in [1..26] do
>    k:=n^2;
>    count:=0;
>    while k gt 0 do
>       count+:=1;
>       k-:=Ceiling(k/n);
>    end while;
>    a[n]:=count;
> end for;
> a;
>
> -- Jon
>
> ----- Original Message -----
> From: "Neil Sloane" <njasloane at gmail.com>
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Sent: Thursday, December 01, 2016 2:00 PM
> Subject: [seqfan] A new sequence in Dutch magazine "Pythagoras"
>
>
> > Dear Sequence Fans, In the June 2016 issue of Pythagoras
> > on pages 20 and 21 there is a new sequence from Pim Spelier.
> >
> > See http://www.pyth.eu/jaargangen/Pyth55-6.pdf
> >
> > It looks like Pythagoras had a competition to
> > find the best sequence not in the OEIS,
> > and this was the winner.  I think we should
> > add it to the OEIS, but my Dutch is not good enough
> > to give a clear definition.
> >
> > Maybe someone who speaks Dutch would be willing to submit the sequence
> (if
> > so, please tell me the A-number).
> >
> > Thanks to Omar Pol who found the magazine (there is also an article about
> > the toothpick sequence A139250).
> >
> > --
> > 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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