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K-regular sequence

In mathematics and theoretical computer science, a k-regular sequence is a sequence satisfying linear recurrence equations that reflect the base-k representations of the integers. The class of k-regular sequences generalizes the class of k-automatic sequences to alphabets of infinite size.

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K-regular sequence

Nodes34
Edges33
Triples37
Avg. degree1.94
Density0.058824
Components1

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K-regular sequence

Top relations

related to References · 16
K-regular sequence → Allouche, Applications, Automatic Sequences, Cambridge University Press, Comput, Generalizations, II, ISBN, Jean-Paul, Jeffrey, Sci, Shallit, The, Theoret, Theory, Zbl
related to Properties · 8
K-regular sequence → Cobham, Every, For, However, If, In, The, This
related to history · 6
K-regular sequence → Allouche, Berstel, Prior, Reutenauer, Shallit, The
related to Definition · 4
K-regular sequence → For, Noetherian, Some, There
related to Automata-theoretic · 2
K-regular sequence → Schützenberger's, The
is a · 1
K-regular sequence → sequence satisfying linear recurrence equations that reflect the base-k representations of the integers

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Important terminology

sequence k-regular displaystyle sequences geq 2-regular k-automatic every number series numbers linear ring integer allouche shallit recurrence integers class k-regularity

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
K-regular sequenceis asequence satisfying linear recurrence equations that reflect the base-k representations of the integers0.90text
K-regular sequencerelated to Automata-theoreticThe0.60section
K-regular sequencerelated to Automata-theoreticSchützenberger's0.60section
K-regular sequencerelated to DefinitionThere0.60section
K-regular sequencerelated to DefinitionSome0.60section
K-regular sequencerelated to DefinitionFor0.60section
K-regular sequencerelated to DefinitionNoetherian0.60section
K-regular sequencerelated to historyThe0.60section
K-regular sequencerelated to historyAllouche0.60section
K-regular sequencerelated to historyShallit0.60section
K-regular sequencerelated to historyPrior0.60section
K-regular sequencerelated to historyBerstel0.60section

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