Ducci Sequences


These sequences date back (at least) to Enrico Ducci (1864-1940). Results about such sequences have been reformulated and reproved several times over the last century, so care must be taken so that history does not keep repeating itself.

My papers on this topic follow. The second paper has a good bibliography of papers up to 2003.

  • M. Chamberland and D. Thomas (2004),
    The N - Number Ducci Game - Open Problems,
    Journal of Difference Equations and Applications, 10 , 339-342
  • M. Chamberland (2003),
    Unbounded Ducci Sequences,
    Journal of Difference Equations and Applications 9 , 887-895
  • O. Andriychenko and M. Chamberland (2000),
    Iterated Strings and Cellular Automata,
    Mathematical Intelligencer 22(4), 33-36
  • Other people who work on such problems include: