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Mathematics > Combinatorics

Title: Three Études on a sequence transformation pipeline

Authors: Paul Barry
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 $\mathcal{T}$ transform.
Comments: 41 pages
Subjects: Combinatorics (math.CO)
MSC classes: 11B83, Secondary 33C45, 42C05, 15B36, 11C20, 05A15, 05E45, 44A10
Cite as: arXiv:1803.06408 [math.CO]
  (or arXiv:1803.06408v1 [math.CO] for this version)

Submission history

From: Paul Barry Dr [view email]
[v1] Fri, 16 Mar 2018 21:44:34 GMT (19kb)