An explanation for this?

[Gottfried]

I was wondering if anyone had the means by which to reproduce this graph? And also, why this is not the accepted extension for tetration of rational values?

A short step back to your opening msg here.

1. ) did you think of contacting the author (Dimitri Kousnetzov) ?
   
   
   
2. ) on the " And also, why (...)" . I cannot really give an answer; one of the last remarks about it I remember was, that Henryk and Dimitri worked together for a new article and Henryk mentioned something about a problem which came up but could not yet be solved/lacked a proof. I expected, they would post some proceedings here in the forum.
   

Another "Happy new year" -
Gottfried