[seqfan] Re: Recaman's transform of its own digits

[Neil Sloane]

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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>
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>



-- 
Dear Friends, I will soon be retiring from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
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