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Three Études on a sequence transformation pipeline

2018/03/16 by Paul Barry, Barry, Paul
Computer Science · Engineering · Mathematics · #05A15 #05E45 #11B83 #11C20 #15B36 #42C05 #44A10 #Advanced Combinatorial Mathematics #Algorithms and Data Compression #Combinatorics (math.CO) #FOS: Mathematics #Secondary 33C45 #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1803.06408

openalex publication_date 2018/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a sequence transformation pipeline that maps certain sequences with rational generating functions to permutation-based sequence families of combinatorial significance. Many of the number triangles we encounter can be related to simplicial objects such as the associahedron and the permutahedron. The linkages between these objects is facilitated by the use of the previously introduced T transform.

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