[seqfan] Re: The mysterious Layman sequences

D. S. McNeil dsm054 at gmail.com
Fri May 14 01:25:28 CEST 2021


I'm getting similar results, but I'm also finding the same behaviour with c
= 0.37-- the first 20k values appear to be the same.

Looking at a plot of the x/y ratios observed during the calculation, there
do seem to be excluded bands -- regions where no such ratio is ever
observed.

So (wild guess time) maybe there's nothing special about the magic number
0.36704.  It's part of a band of numbers that generate the same first few
elements of the sequence and then puts them on a path where ratios nearby
the threshold aren't observed, meaning the sequences won't diverge despite
their apparently different definitions.


Doug



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