On a determinantal formula for derangement numbers

MaRDI QIDQ6582230

Milica Anđelić, Carlos M. Da Fonseca

Publication date: 2 August 2024

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

determinanttridiagonal matricesderangement numbers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05) Determinants, permanents, traces, other special matrix functions (15A15) Recurrences (11B37) Matrices, determinants in number theory (11C20)

Cites Work

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• The \(r\)-derangement numbers
• A representation of the solution of the \(n\)th order linear difference equation with variable coefficients
• Closed forms for derangement numbers in terms of the Hessenberg determinants
• On a closed form for derangement numbers: an elementary proof
• ON A CURIOUS PROPERTY OF BELL NUMBERS
• A recovery of two determinantal representations for derangement numbers
• Arithmetic properties of the sequence of derangements

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