Parity considerations for drops in cycles on \(\{1,2,\dots,n\}\)

DOI10.1016/j.disc.2022.112934zbMath1490.05010arXiv2112.02074OpenAlexW4224103548MaRDI QIDQ2142669

Shane Chern

Publication date: 27 May 2022

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

Full work available at URL: https://arxiv.org/abs/2112.02074

zbMATH Keywords

cycleGenocchi numberbivariate generating functioneven-odd dropGenocchi medianodd-odd drop

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Related Items (1)

Counting inversion sequences by parity successions and runs

Cites Work

• Cycles on a multiset with only even-odd drops
• The homogenized Linial arrangement and Genocchi numbers
• Cycles of even-odd drop permutations and continued fractions of Genocchi numbers
• Unnamed Item

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