André permutation calculus: a twin Seidel matrix sequence

zbMath1350.05005arXiv1601.04371MaRDI QIDQ341333

Guo-Niu Han, Foata, Dominique

Publication date: 16 November 2016

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04371

zbMATH Keywords

secant numberstangent numbersalternating permutationsEntringer numbersAndré permutationsformal Laplace transformgreater neighbor of maximumhooked permutationsincreasing binary treespitSeidel matrix sequenceSeidel triangle sequencespiketight permutations

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)

Related Items (9)

The Entringer-Poupard matrix sequence ⋮ A combinatorial model for the transition matrix between the Specht and -web bases ⋮ A combinatorial model for the transition matrix between the Specht and web bases ⋮ Enumeration of permutations by the parity of descent positions ⋮ The \(\gamma\)-positivity of bivariate Eulerian polynomials via the Hetyei-Reiner action ⋮ More bijections for Entringer and Arnold families ⋮ Refined restricted inversion sequences ⋮ Brändén's \((p,q)\)-Eulerian polynomials, André permutations and continued fractions ⋮ On enumeration of families of genus zero permutations

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