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

Robert G. Wilson v rgwv at rgwv.com
Fri Dec 2 05:10:20 CET 2016


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/
>
> 


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