Treffer: Dérangements et nombres de Genocchi: Derangements and Genocchi numbers
Title:
Dérangements et nombres de Genocchi: Derangements and Genocchi numbers
Authors:
Source:
Discrete Mathematics. 132:37-49
Publisher Information:
Elsevier BV, 1994.
Publication Year:
1994
Subject Terms:
Permutations, words, matrices, Gandhi polynomials, Continued fractions and generalizations, continued fraction expansions, Exact enumeration problems, generating functions, Euler finite-difference tableau, derangement numbers, 0102 computer and information sciences, 01 natural sciences, Theoretical Computer Science, Seidel tableau, fixed point, Combinatorial aspects of representation theory, Other combinatorial number theory, generating functions, Genocchi numbers, Discrete Mathematics and Combinatorics, 0101 mathematics, Bernoulli and Euler numbers and polynomials
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
French
ISSN:
0012-365X
DOI:
10.1016/0012-365x(94)90230-5
Access URL:
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....e508fc4e8643ec6a1411ae5c45f310bf
Database:
OpenAIRE
Weitere Informationen
The authors give a new combinatorial interpretation for the derangement numbers and Genocchi numbers (arising from the expansion of \(2t/(e^ t+ 1))\), connecting them with the Euler finite-difference tableau and the Seidel tableau, respectively. In this correspondence the notion of doubled fixed point in the graph of an exceeding mapping is used, see also the first author and \textit{G. Viennot} [Ann. Discrete Math. 6, 77-87 (1980; Zbl 0449.10011)]. In addition, Gandhi polynomials [\textit{J. M. Gandhi}, Am. Math. Mon. 77, 505-506 (1970; Zbl 0198.370)] are used to obtain functional equations, generating functions and continued fraction expansions for the Genocchi numbers.