most recent 30 from http://mathoverflow.net 2013-05-26T05:27:04Z http://mathoverflow.net/feeds/question/67613 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/67613/collatz-related-question jonathan 2011-06-12T22:24:44Z 2011-06-12T22:30:14Z

<p>Howdy,</p> <p>Not sure this will be entirely clear, but when considering the relationship between a start value n in the Collatz algorithm and the length of the sequence generated by n, is there a function f() such that f(n) = y >= length(Collatz(n))?</p>

http://mathoverflow.net/questions/67613/collatz-related-question/67614#67614 DavidLHarden 2011-06-12T22:30:14Z 2011-06-12T22:30:14Z

<p>The existence of such a function is equivalent to the unproven statement that all n eventually settle into the $4, 2, 1$ cycle. Or do I misunderstand your question?</p>