[seqfan] Re: Fractal sequence?

[bacher]

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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