[seqfan] Pedersen's fractal sequence A265650

Antti Karttunen antti.karttunen at gmail.com
Tue Dec 15 17:38:56 CET 2015


With Professor Kimberling's permission, I forward his reply concerning
Martin Pedersen's recent A265650 to this list:

 On Tue, Dec 15, 2015 at 4:50 PM, Kimberling, Clark <ck6 at evansville.edu>
wrote:
...

>
>
> Regarding A265650,  I wrote out the first few terms in rows as follows:
>
> 1
>
> 1, 2
>
> 1, 3, 2, 4
>
> 1, 5, 3, 6, 2, 7, 8, 4, 9
>
> 1, 10, 11, 5, 12, 3, 13, 14, 6, 15, 2, 16, 17, … 4, …9 …
>
>
>
> and numbered those numbers in order as 1,2,3,4,…  Thus, the 1’s are
> numbered as 1, 2, 4, 8, …;  the 2’s are numbered as 3, 6, 12, …  Putting
> these together gives the following dispersion (and interspersion)
>
>
>
> 1, 2, 4, 8, …
>
> 3, 6, 12, …
>
> 5, 10, …
>
> 7, 15, …
>
>
>
> There are several entries in OEIS that begin with 1,2,3,4,6,5,8,12,10,7.
>  If you generate more terms, possibly only one of the OEIS sequences will
> fit.  (I’d like to know which one but must start grading some final exams.)
>
>
>
> Thanks for your interest!
>
>
>
> Clark
>
>
>
>
>


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