September 21st, 2016, 01:55 PM  #21 
Senior Member Joined: Aug 2016 From: morocco Posts: 273 Thanks: 32 
My approach is different. i define the inverse of the runlength encoding operator and i use the fact that the infinit Kolakoski word is a fixed point of this kind of primitive. 
September 21st, 2016, 02:31 PM  #22 
Banned Camp Joined: Dec 2013 Posts: 1,117 Thanks: 41 
I did not study Kolakoski sequence even if I read about it long time ago. As I assume that you studied deeply such sequence you are better placed to see which approach fit your objective. I gave you a glance of a general method I apply to any randomly apparent sequence to detect some pattern without even knowing how to build such sequence. My method is simple and its goal is obvious : looking for patterns. I have other interests in mathematics particularly using elementary tools to solve hard problems. 
September 21st, 2016, 02:38 PM  #23 
Senior Member Joined: Aug 2016 From: morocco Posts: 273 Thanks: 32 
Thank you friend. i'll be pleased to share with you ideas about subjects of common interest. excuse my poor english. 

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