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  1. Newsgroups: sci.math
  2. Path: sparky!uunet!stanford.edu!agate!usenet.ins.cwru.edu!math26647.math.cwru.edu!user
  3. From: mgh3@po.cwru.edu (mike hurley)
  4. Subject: Re: Hailstone sequences
  5. Message-ID: <mgh3-240792124049@math26647.math.cwru.edu>
  6. Followup-To: sci.math
  7. Sender: news@usenet.ins.cwru.edu
  8. Nntp-Posting-Host: math26647.math.cwru.edu
  9. Organization: case western reserve u
  10. References: <2020@bigfoot.first.gmd.de> <1992Jul18.115039.25704@mailer.cc.fsu.edu> <CHALCRAFT.92Jul24095243@zebedee.uk.tele.nokia.fi> <1992Jul24.152238.12742@williams.edu>
  11. Distribution: usa
  12. Date: Fri, 24 Jul 92 16:48:33 GMT
  13. Lines:       20
  14.  
  15. In article <1992Jul24.152238.12742@williams.edu>, ddailey@williams.edu
  16. wrote:
  17. > 
  18. > <deletion>
  19. > >
  20. > >The result that on the positive integers, the function
  21. > >  f(x)=3x+1 or x/2
  22.  
  23. <deleted> 
  24.  
  25. > I first heard of these sequences from Stan Ulam and assumed they originated
  26. > with him. Did they?
  27. > 
  28. > David Dailey
  29.  
  30. J.C. Lagarias in article in the MAA Monthly (Jan. 1985, p3) discusses
  31. the origin of the problem. It would appear that the problem (or at
  32. least a somewhat similar problem) is attributable to Lothar Collatz 
  33. in the 1930's.
  34.