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Shadow sequences of integers, from Fibonacci to Markov and back

2021/11/03 by Valentin Ovsienko, Ovsienko, Valentin
Computer Science · #Algorithms and Data Compression #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2111.02553

openalex publication_date 2021/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The following general idea looks crazy. What if another integer sequence follows each integer sequence like a shadow? I will demonstrate that this is indeed the case, perhaps not for every integer sequence, but for many of them.

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