On digital sequences associated with Pascal's triangle

DOI10.1007/s00010-022-00932-zOpenAlexW4311779308MaRDI QIDQ2696006

Manon Stipulanti, Naïm Zenaïdi, Pierre Mathonet, Michel Rigo

Publication date: 5 April 2023

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06636

zbMATH Keywords

automatic sequencespolynomial identitiesbinomial coefficientsregular sequencesFermat primesevil numbersodious numbersPascal's triangledigital sequencesinteger numeration systems

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorics on words (68R15) Formal languages and automata (68Q45) Radix representation; digital problems (11A63) Automata sequences (11B85)

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Beyond odious and evil
• Generalized Pascal triangle for binomial coefficients of words
• Pascal's triangle, complexity and automata
• Logic and \(p\)-recognizable sets of integers
• Linear cellular automata, finite automata and Pascal's triangle
• On synchronized sequences and their separators
• Geometry of Binomial Coefficients
• Automatic Sequences
• On Stephan's conjectures concerning Pascal triangle modulo 2
• A Mixing of Prouhet-Thue-Morse Sequences and Rademacher Functions
• Binomial Coefficients Modulo a Prime
• 17 lectures on Fermat numbers. From number theory to geometry. With a foreword by Alena Šolcová

This page was built for publication: On digital sequences associated with Pascal's triangle