[seqfan] Fractal sequence?
David Sycamore
djsycamore at yahoo.co.uk
Mon Nov 18 11:21:56 CET 2019
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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