Word.ws English Dictionary

Ducci sequence

Ducci sequence noun: a sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),.

Noun

Ducci sequence (plural Ducci sequences)

  1. A sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),.

Forms of Ducci sequence

pluralDucci sequences

Origin of Ducci sequence

Named after Italian mathematician Enrico Ducci (1864–1940), who discovered in the 1930s that every such sequence eventually becomes periodic.

Questions about Ducci sequence

What does Ducci sequence mean?
Ducci sequence means a sequence of n-tuples of integers (a_1,a_2,...,a_n), such that the next n-tuple in the sequence is formed by taking the absolute differences of neighbouring integers: (a_1,a_2,...,a_n)→(|a_1-a_2|,|a_2-a_3|,...,|a_n-a_1|),.
What part of speech is Ducci sequence?
Ducci sequence is a noun.
What is the plural of Ducci sequence?
The plural of Ducci sequence is Ducci sequences.

Words near Ducci sequence in the dictionary

  1. ducatons
  2. ducatoon
  3. ducatoons
  4. ducats
  5. Ducci
  6. Ducci sequence
  7. Ducci sequences
  8. duce
  9. duceavil
  10. duces
  11. duces bellorum

Source and license

Adapted from Wiktionary: Ducci sequence (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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