Multiterm Nestedly Recursive Functions

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Recursion relations with a very simple form can lead to surprisingly complex behavior. The recursion is .

Contributed by: Stephen Wolfram (March 2011)
Based on: A live experiment at the 2003 NKS Summer School
Open content licensed under CC BY-NC-SA


Snapshots


Details

The recursion relations are set up so that whenever they sample below , the is taken to have value 1.

Functions like these were mentioned in A New Kind of Science, but first studied in detail in Stephen Wolfram's Live Experiment at the opening of the first NKS Summer School, in June 2003.



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