# [seqfan] Re: Recaman's transform of the odd numbers

Eric Angelini Eric.Angelini at kntv.be
Wed Mar 7 08:37:05 CET 2012

```Many thanks, Neil and Charles, I had overlooked
the "you can get duplicates when you
Forget my other " Recaman's transforms".
Best,
É.

Le 6 mars 2012 à 20:49, "Neil Sloane" <njasloane at gmail.com> a écrit :

> 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