The Entringer-Poupard matrix sequence

DOI10.1016/J.LAA.2016.09.016zbMath1348.05019OpenAlexW2521708926WikidataQ125764307 ScholiaQ125764307MaRDI QIDQ332634

Guo-Niu Han, Foata, Dominique, Strehl, Volker

Publication date: 8 November 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.09.016

zbMATH Keywords

secant numberstangent numbersalternating permutationsEntringer numbersEntringer-Poupard matrix sequencelinear refinementmatrix refinementPoupard numbersSeidel matricesskew Seidel matricesthree-variate generating function calculus

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Exponential and trigonometric functions (33B10)

Uses Software

• OEIS

Cites Work

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• André permutation calculus: a twin Seidel matrix sequence
• Secant tree calculus
• Seidel triangle sequences and Bi-Entringer numbers
• Deux propriétés des arbres binaires ordonnés stricts. (Two properties of strictly ordered binary trees)
• Bijections for Entringer families
• Bernoulli-Euler updown numbers associated with function singularities, their combinatorics and arithmetics
• A new operation on sequences: The boustrophedon transform
• Finite difference calculus for alternating permutations
• Tree calculus for bivariate difference equations
• A Survey of Alternating Permutations
• Increasing trees and alternating permutations

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