[seqfan] The interest value of A019989, A019990, and A019991

Peter Munn techsubs at pearceneptune.co.uk
Thu Apr 18 04:05:15 CEST 2019


Dear seqfans,

On Tue, April 16, 2019 3:12 am, Brad Klee wrote:
> On Mon, Apr 15, 2019 at 10:30 AM Marc LeBrun <mlb at well.com> wrote:
>> I was hoping it was trying to be some kind of ternary Thue-Morse
> Yes, it does look something similar to a ternary Thue-Morse, but

[...]
> Notice that this analogy preserves that each column should
> contain a permutation of three consecutive numbers. This
> property does not hold for A019989, A019990, A019991.

I suspect we should look at the densities of each sequence plotted against
log N, where the density is measured over 1..N . I would expect to see
oscillations with peaks and troughs that may not converge, but the
respective asymptotes for the peaks and the troughs might be the same for
each of the three sequences.

Best Regards,

Peter  (with apologies for any nonstandard terminology from this amateur)









More information about the SeqFan mailing list