Cycles on a multiset with only even-odd drops

DOI10.1016/j.disc.2021.112683zbMath1479.05019arXiv2108.03790OpenAlexW3206385046WikidataQ114190582 ScholiaQ114190582MaRDI QIDQ2666580

Sherry H. F. Yan, Zhicong Lin

Publication date: 23 November 2021

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

Full work available at URL: https://arxiv.org/abs/2108.03790

zbMATH Keywords

Genocchi numbersLaguerre historiesD-cycleseven-odd drops

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other combinatorial number theory (11B75) Enumerative combinatorics (05A99)

Related Items (3)

Parity considerations for drops in cycles on \(\{1,2,\dots,n\}\) ⋮ Cycles of even-odd drop permutations and continued fractions of Genocchi numbers ⋮ Counting inversion sequences by parity successions and runs

Cites Work

• The symmetric and unimodal expansion of Eulerian polynomials via continued fractions
• Interpretations combinatoires des nombres de Genocchi
• Permutations selon leurs pics, creux, doubles montees et double descentes, nombres d'Euler et nombres de Genocchi
• Combinatorial proofs of some properties of tangent and Genocchi numbers
• Enumerations of permutations by circular descent sets
• On the homogenized linial arrangement: intersection lattice and Genocchi numbers
• Unnamed Item

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