Wolfram Demonstrations Project
7899

Multiterm Nestedly Recursive Functions

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

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

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.

RELATED LINKS

PERMANENT CITATION

"Multiterm Nestedly Recursive Functions" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/MultitermNestedlyRecursiveFunctions/
Contributed by: Stephen Wolfram
Based on: A live experiment at the 2003 NKS Summer School




Related Topics




Contribute




 
RELATED RESOURCES
Mathematica »
 The #1 tool for creating Demonstrations
and anything technical. 		Wolfram|Alpha »
 Explore anything with the first
computational knowledge engine. 		MathWorld »
 The web's most extensive
mathematics resource. 		Course Assistant Apps »
 An app for every course—
right in the palm of your hand.
Wolfram Blog »
 Read our views on math,
science, and technology. 		Computable Document Format »
 The format that makes Demonstrations
(and any information) easy to share and interact with. 		STEM Initiative »
 Programs & resources for
educators, schools & students. 		Computerbasedmath.org »
 Join the initiative for modernizing
math education.
Powered by Wolfram Mathematica © 2012 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+