The number of Ducci sequences with given period
Ron Brown, Jonathan L. Merzel · The Fibonacci Quarterly · 2007
The exact number of periodic Ducci sequences of vectors with arbitrary dimension but with specified period is computed, assuming natural identifications of certain sequences having the same behavior. A duality theory is developed which shows that this computation is equivalent to a result of A. Ludington Young on the number of periodic Ducci sequences of specified dimension but arbitrary period.