Browsing James D. Currie by Author "Schaeffer, Luke"

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    • Avoiding three consecutive blocks of the same size and same sum 

      Currie, James D.; Cassaigne, Julien; Shallit, Jeffrey O.; Schaeffer, Luke (Association of Computing Machinery, 2014-04)
      We show that there exists an infinite word over the alphabet {0,1,3,4} containing no three consecutive blocks of the same size and the same sum. This answers an open problem of Pirillo and Varricchio from1994.