[seqfan] Re: Fractal sequence?

[Neil Sloane]

Certainly submit it, with a cross-reference to Van Eck's A181391.




On Thu, Nov 21, 2019 at 3:30 AM bacher <Roland.Bacher at univ-grenoble-alpes.fr>
wrote:

>
> This seems to be an interesting sequence  which should absolutely
> be in the OEIS.
>
> Best, Roland
>
> David Sycamore via SeqFan <seqfan at list.seqfan.eu> a écrit :
>
> > Dear Seqfans,
> >
> > I would appreciate some clarification about the following draft sequence:
> >
> > a(0)=0. If a(n)=k is the first occurrence of k then a(n+1)=a(k),
> > else a(n+1)=n-m where m is the index of the greatest prior term.
> >
> > 0,0,1,0,1,2,1,1,2,3,0,1,2,3,4,1,1,2,3,4,5,2,1,2,3...
> >
> > This seems to have the property of self containment, since
> > subsequence a(T(k+1));  k>=0 looks like a copy of the original, but
> > when the first occurrence of every k is erased, the result is not
> > the original.
> >
> > However, if a(0) and the copy subsequence are erased the result is
> > A002260, a fractal sequence.
> >
> > So strictly speaking is this sequence fractal or not, and either
> > way, should it go in oeis ?
> >
> > Best,
> >
> > David.
> >
> > --
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>
>
>
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