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About: Ducci sequence     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Series108457976, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatSequencesAndSeriesyago:Abstraction100002137yago:Arrangement107938773yago:Group100031264yago:Ordering108456993yago:Sequence108459252yago:Series108457976 New Facet based on Instances of this Class

A Ducci sequence is a sequence of n-tuples of integers, sometimes known as "the Diffy game", because it is based on sequences. Given an n-tuple of integers , the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: Another way of describing this is as follows. Arrange n integers in a circle and make a new circle by taking the difference between neighbours, ignoring any minus signs; then repeat the operation. Ducci sequences are named after Enrico Ducci (1864 - 1940), the Italian mathematician who discovered this in the 1930s.