[seqfan] Re: Erase my twins, I'll be back

[Christian Lawson-Perfect]

That's reminiscent of A003602, which has the property that if you delete
the first occurrence of each positive integer you get the same sequence.

On Wed, 2 Oct 2019 at 13:49, Éric Angelini <eric.angelini at skynet.be> wrote:

> Hello SeqFans,
> erase two successive terms when they are the same.
> The non-erased terms rebuild the starting sequence:
> 1,1,2,2,1,2,2,1,2,1,1,2,1,2,1,1,2,1,2,1,1,2,1,2,1,2,2,1,2,1,2,1,2,
> 2,1,2,1,2,1,2,1,1,2,1,2,1,2,1,2,1,1,2,1,2,1,2,1,2,1,...
> This is easy to build by hand -- and boring: is there a
> simple morphism that could do the job?
> (The "lexicographically first" question is impossible
> to solve here, I guess -- as one can always begin the
> sequence with a bunch of 1s. Or insert a pair of 1s
> at some point to "beat" the previous seq). I just wanted to show this
> example -- a "fractal with an
> eraser" -- which might not enter the OEIS, no problemo!
> Best,
> É.
>
>
> à+
> É.
> Catapulté de mon aPhone
>
>
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>