On Connection between the Numbers of Permutations and Full Cycles with\n Some Restrictions on Positions and Up-Down Structure

2008/03/17 by Vladimir Shevelev, Shevelev, Vladimir · 1 citation
Engineering · Mathematics · #05A15 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.0803.2396

openalex publication_date 2008/03/17 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We discuss both simple and more subtle connections between the numbers of\npermutations and full cycles with some restrictions,in particular, between the\nnumbers of permutations and full cycles with prescribed up-down structure.\n

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• Equations of the form t(x+a)=t(x) and t(x+a)=1-t(x) for Thue-Morse\n sequence

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