On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs

DOI10.2989/16073606.2012.742240zbMath1274.11021arXiv1102.5186OpenAlexW2086072882MaRDI QIDQ2862811

Prodinger, Helmut

Publication date: 19 November 2013

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5186

zbMATH Keywords

continued fractionMotzkin numbersSchröder numbersTouchard's continued fraction

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Continued fractions (11A55)

Related Items (4)

Trees, forests, and total positivity. I: \(q\)-trees and \(q\)-forests matrices ⋮ Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions ⋮ Proofs of two conjectures of Kenyon and Wilson on Dyck tilings ⋮ Enumeration formulas for generalized \(q\)-Euler numbers

This page was built for publication: On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs