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Pattern spectra, substring enumeration, and automatic sequences

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Publication:1190468
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DOI10.1016/0304-3975(92)90032-BzbMath0753.11012MaRDI QIDQ1190468

Patrick Morton, Jeffrey O. Shallit, Jean-Paul Allouche

Publication date: 26 September 1992

Published in: Theoretical Computer Science (Search for Journal in Brave)


zbMATH Keywords

automataautomatic sequencespattern spectrumbinary expansionpattern sequenceformal regular languagessequences given by special infinite productssubsequence of Prouhet-Thue-Morse sequencesubstring enumeration


Mathematics Subject Classification ID

Formal languages and automata (68Q45) Automata sequences (11B85)


Related Items (3)

A pattern sequence approach to Stern's sequence ⋮ Unnamed Item ⋮ The ring of \(k\)-regular sequences




Cites Work

  • Unnamed Item
  • Unnamed Item
  • A summation formula related to the binary digits
  • Finite automata in number theory
  • Quelles tuiles ! (Pavages apériodiques du plan et automates bidimensionnels)
  • Paper Folding, Digit Patterns and Groups of Arithmetic Fractals
  • Suites algébriques, automates et substitutions
  • Binary Digit Distribution over Naturally Defined Sequences
  • On the Number of Binary Digits in a Multiple of Three
  • Uniform tag sequences




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