Derangements and Genocchi numbers

DOI10.1016/0012-365X(94)90230-5zbMath0807.05001MaRDI QIDQ1336648

Arthur Randrianarivony, Dumont, Dominique

Publication date: 28 February 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

continued fraction expansionsgenerating functionsfixed pointGenocchi numbersGandhi polynomialsderangement numbersEuler finite-difference tableauSeidel tableau

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Other combinatorial number theory (11B75) Continued fractions and generalizations (11J70)

Related Items (28)

A \(q\)-analog of the Seidel generation of Genocchi numbers ⋮ Degenerate and \(n\)-adic versions of Kummer's congruences for values of Bernoulli polynomials ⋮ \(\lambda\)-Euler's difference table for colored permutations ⋮ Combinatorial interpretations of the Kreweras triangle in terms of subset tuples ⋮ Gamma-positivity for a refinement of median Genocchi numbers ⋮ The homogenized Linial arrangement and Genocchi numbers ⋮ On an extension of the Genocchi numbers ⋮ Euler's difference table and maximum permanents of (0, 1)-matrices ⋮ Unnamed Item ⋮ Symmetric Dellac configurations and symplectic/orthogonal flag varieties ⋮ Terrain-like graphs and the median Genocchi numbers ⋮ Combinatorial study of Dellac configurations and \(q\)-extended normalized median Genocchi numbers ⋮ Cycles of even-odd drop permutations and continued fractions of Genocchi numbers ⋮ PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Higher order log-concavity in Euler's difference table ⋮ The median Genocchi numbers, \(q\)-analogues and continued fractions ⋮ $k$-Arrangements, Statistics, and Patterns ⋮ Combinatorial proofs of some properties of tangent and Genocchi numbers ⋮ PBW degeneration: algebra, geometry, and combinatorics ⋮ The largest and the smallest fixed points of permutations ⋮ Symmetric Dellac configurations ⋮ On some sequences of polynomials generating the Genocchi numbers ⋮ Enumerations of permutations by circular descent sets ⋮ On the homogenized linial arrangement: intersection lattice and Genocchi numbers ⋮ The expansion of a chord diagram and the Genocchi numbers ⋮ A \(q\)-table of Euler ⋮ A combinatorial interpretation of the Seidel generation of \(q\)-derangement numbers ⋮ Yet another triangle for the Genocchi numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Proof of a conjecture on Genocchi numbers
• Alternating permutations and modified Ghandi-polynomials
• Explicit formulas for the Dumont-Foata polynomial
• On Dumont's polynomials
• Interpretations combinatoires des nombres de Genocchi
• Euler-Seidel matrices
• On an extension of the Genocchi numbers
• Sur une conjecture de Gandhi concernant les nombres de Genocchi
• A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers
• Une propriété de symétrie des nombres de Genocchi
• Permutations by Number of Rises and Successions
• A Conjectured Representation of Genocchi Numbers
• A note on the Euler and Genocchi numbers

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