A Ducci sequence is obtained by starting with an -tuple of integers and repeatedly
replacing it by the cyclic tuple of the absolute values
of successive differences,
For example,
When
is a power of 2, every Ducci sequence of integer-tuples eventually reaches the zero tuple.
For other lengths, nonzero cycles can occur (Breuer 2007).
-tuple of integers and repeatedly
replacing it by the cyclic tuple of the absolute values
of successive differences,
is a power of 2, every Ducci sequence of integer 
-tuples eventually reaches the zero tuple.
For other lengths, nonzero cycles can occur (Breuer 2007).
