The doubloon polynomial triangle

DOI10.1007/s11139-009-9194-9zbMath1218.05013OpenAlexW2043756407WikidataQ60692022 ScholiaQ60692022MaRDI QIDQ618851

Guo-Niu Han, Foata, Dominique

Publication date: 17 January 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-009-9194-9

zbMATH Keywords

Catalan triangledoubloon polynomial triangledoubloon polynomialsPoupard trianglereduced tangent numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Exponential and trigonometric functions (33B10)

Related Items (8)

Eulerian Polynomials: From Euler’s Time to the Present ⋮ Secant tree calculus ⋮ Some new binomial sums related to the Catalan triangle ⋮ Bilabelled increasing trees and hook-length formulae ⋮ Unnamed Item ⋮ The complete \(\mathbf{cd}\)-index of Boolean lattices ⋮ Combinatorial families of multilabelled increasing trees and hook-length formulas ⋮ Finite difference calculus for alternating permutations

Uses Software

• OEIS

Cites Work

• Deux propriétés des arbres binaires ordonnés stricts. (Two properties of strictly ordered binary trees)
• A fundamental transformation on the rearrangements of words
• Enumerating split-pair arrangements
• DOUBLOONS AND NEW Q-TANGENT NUMBERS
• A Combinatorial Property of q-Eulerian Numbers
• Major Index and Inversion Number of Permutations
• q-Bernoulli and Eulerian Numbers
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• Unnamed Item
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