[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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