On the $r$-Derangements of type B

zbMath1494.05003arXiv2103.04151MaRDI QIDQ5094171

István Mezö, Diego Villamizar, Victor H. Moll, José L. Ramírez

Publication date: 2 August 2022

Full work available at URL: https://arxiv.org/abs/2103.04151

zbMATH Keywords

generating functionsRiordan arrayscounting sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05) Special sequences and polynomials (11B83)

Uses Software

• OEIS

Cites Work

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• The \(r\)-derangement numbers
• Cyclic derangements
• Production matrices and riordan arrays
• The \(r\)-Stirling numbers
• The number of cladistic characters
• A theorem relating potential and Bell polynomials
• The Riordan group
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Combinatorial and arithmetical properties of the restricted and associated Bell and factorial numbers
• On the Lambert \(w\) function
• Extensions of set partitions and permutations
• On derangement polynomials of type \(B\)
• Combinatorics of Coxeter Groups
• Coordination sequences for root lattices and related graphs
• Low–dimensional lattices. VII. Coordination sequences
• Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers

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