The \(r\)-derangement numbers

DOI10.1016/j.disc.2016.10.012zbMath1415.05007arXiv1803.04529OpenAlexW2553274030MaRDI QIDQ526265

Piotr Miska, Chenying Wang, István Mezö

Publication date: 10 May 2017

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

Full work available at URL: https://arxiv.org/abs/1803.04529

zbMATH Keywords

asymptoticsDiophantine problemsderangements\(p\)-adic evaluationrestricted derangements

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Asymptotic enumeration (05A16)

Related Items

The log-balancedness of generalized derangement numbers ⋮ \(\lambda\)-Euler's difference table for colored permutations ⋮ The log-convexity of \(r\)-derangement numbers ⋮ Associated \(r\)-Dowling numbers and some relatives ⋮ Extensions of set partitions and permutations ⋮ Decomposition of some Hankel matrices generated by the generalized rencontres polynomials ⋮ Widened derangements and generalized Laguerre polynomials ⋮ Study of degenerate derangement polynomials by \(\lambda\)-umbral calculus ⋮ The deranged Bell numbers ⋮ Curious congruences related to the Bell polynomials ⋮ On the $r$-Derangements of type B ⋮ The \(r\)-alternating permutations ⋮ Fourier series of sums of products of r-derangement functions ⋮ Unnamed Item ⋮ Riordan arrays and \(r\)-Stirling number identities ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(r\)-Stirling numbers
• The \(r\)-Lah numbers
• Generalizations of Bell number formulas of spivey and Mező
• Arithmetic properties of the sequence of derangements