[seqfan] Re: Recaman's transform of its own digits
Neil Sloane
njasloane at gmail.com
Fri Mar 16 19:38:36 CET 2012
I added 4 sequences based on this email: A210022, A210023, A210025, A210026.
Further terms will be welcomed.
Neil
On Tue, Mar 6, 2012 at 1:26 PM, Eric Angelini <Eric.Angelini at kntv.be> wrote:
>
> A "Recaman's transform" I like, of course, is this one,
> where the succession of the sequence digits is the succession
> of the absolute first differences:
>
> 1 2 4 8 16 15 9 8 3 12 4 1 0 2 6 5 5 3 9 4 9 6 15 11 2 8 7 2 1 0 2 10 3 1
> 0 0 2 1 1 4 3 3 ...
> 1 2 4 8 1 6 1 5 9 8 3 1 2 4 1 0 2 6 5 5 3 9 4 9 6 1 5 1 1 2 8 7 2 1
> 0 2 1 0 3 1 0 ...
>
> Accepting "0" in the sequence is not interesting at a too early stage:
>
> 1 0 0 0 0 0 ...
> 1 0 0 0 0 0 ...
>
> 1 2 4 8 0 0 0 0 0 ...
> 1 2 4 8 0 0 0 0 0 ...
>
> If we don't want any 0 in the sequence, we might impose:
>
> 1) Monotonically increasing terms:
> 1 2 4 8 16 17 23 24 31
> 1 2 4 8 1 6 1 7 --> but this gives https://oeis.org/A100787
>
> 2) Zeroes are simply forbidden in the sequence:
> 1 2 4 8 16 15 9 8 3 12 4 1 2 4 8 7 5 1 9 2 7 6 15 13 6 12 11 6 5 2 8 7 5
> ...
> 1 2 4 8 1 6 1 5 9 8 3 1 2 4 1 2 4 8 7 5 1 9 2 7 6 1 5 1 3 6 1 2 ...
>
> Best,
> É.
>
>
>
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>
> 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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