[seqfan] Re: Recaman's transform of the odd numbers
Neil Sloane
njasloane at gmail.com
Tue Mar 6 20:49:20 CET 2012
Charles is correct. You can get duplicates when you add.
That has always been part of the definition of the Recaman sequence
Neil
On Tue, Mar 6, 2012 at 1:56 PM, Charles Greathouse <
charles.greathouse at case.edu> wrote:
> As I understand it, you subtract if the result is positive and not
> already in the sequence, but otherwise you add and put the result in
> the sequence, even if it's already present.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
> On Tue, Mar 6, 2012 at 12:44 PM, Eric Angelini <Eric.Angelini at kntv.be>
> wrote:
> > Hello SeqFans,
> > I'm having troubles with https://oeis.org/A128204
> >
> > 0, 1, 4, 9, 2, 11, 22, 35, 20, 3, 22, 43, 66, 41, 14, 43, ...
> > I see two times "22" and two times "43" here. Is it allowed?
> >
> > Shouldn't the sequence start:
> >
> > 0, 1, 4, 9, 2, 11, 22, 35, 20, 37, ... with a new definition?
> > (like: erase the last term leading to a contradiction and try
> > adding instead of subtracting? Such a term would be "3", in
> > the above sequence).
> >
> > ----------
> >
> > This new definition would be useful to compute a Recaman's
> > variation I don't see in the database -- the "Recaman's
> > transform of the even numbers":
> >
> > 1 3 7 13 5 15 27 41 25 43 23 45 21 47 19 49 (and not 11)
> > 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 ...
> >
> > Best,
> > É.
> >
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>
--
Dear Friends, I will soon be retiring from AT&T. New coordinates:
Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com
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