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Journal of Difference Equations and Applications Volume 17, 2011 - Issue 3
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Original Articles

Teaching the computer how to discover(!) and then prove(!!) (all by itself(!!!)) analogues of Collatz's notorious 3x + 1 conjecture

Doron Zeilberger Department of Mathematics, Rutgers University (New Brunswick), Hill Center-Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USACorrespondence[email protected]
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Pages 375-386 | Received 24 Mar 2009, Accepted 07 Apr 2009, Published online: 29 Dec 2009
 
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Notes

1. http://www.math.rutgers.edu/∼zeilberg. First version: March 23, 2009. This version: April 7, 2009. Accompanied by Maple package LADAS downloadable from http://www.math.rutgers.edu/ ∼zeilberg/mamarim/mamarimhtml/collatz.html, where one can also find (very interesting!) output, consisting of 144 computer-generated theorems and proofs. Supported in part by the NSF.

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Doron Zeilberger

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