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On the Orthogonality of Generalized Pattern Sequences

  • Shuo Li*
  • *Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

The partial sums of integer sequences that count the occurrences of a specific pattern in the binary expansion of positive integers have been investigated by different authors since the 1950s. In this note, we introduce generalized pattern sequences, which count the occurrences of a finite number of different patterns in the expansion of positive integers in any integer base, and analyze their partial sums.

Original languageEnglish
Pages (from-to)139-144
Number of pages6
JournalElectronic Proceedings in Theoretical Computer Science, EPTCS
Volume403
DOIs
StatePublished - 24 Jun 2024
Externally publishedYes
Event13th Conference on Random Generation of Combinatorial Structures. Polyominoes and Tilings, GASCom 2024 - Bordeaux, France
Duration: 24 Jun 202428 Jun 2024

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