[seqfan] Re: Why does this sequence make a staircase pattern?
njasloane at gmail.com
Sun Feb 16 17:05:36 CET 2020
Hans, I have not been following this thread. Can you be in charge of
making sure the sequences - and your amazing graph - are in the OEIS,
Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com
On Sun, Feb 16, 2020 at 9:52 AM Hans Havermann <gladhobo at bell.net> wrote:
> EB: "How did you find it? And could you please compute some more terms?"
> I've shared my Mathematica code with Elijah. I'm currently approaching
> 10^9 in my record-length "order" search and a log graph nicely illustrates
> the "staircase":
> "... why could these 'plateaus' and 'cliffs' occur?"
> Each number represents a record-length sequence so it shouldn't be too
> surprising that we might have to climb some distance to find a new one. The
> sequences themselves have the characteristic, often, of being extendable by
> prepending another number. Sometimes, when we are in new territory, this
> can be done many times. In the plateaus, we extend our records by
> exhausting this feature in the nearby integer terrain.
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