Combinatorics and Number Theory of Counting Sequences is an introduction to the theory
of finite set partitions and to the enumeration of cycle decompositions of permutations. The …

In this work, we establish some characteristics for a sequence, A α (n, k), including
recurrence relations, generating function and inversion formula, etc. Based on the …

Extensions of set partitions and permutations Page 1 Extensions of set partitions and
permutations Jhon B. Caicedo Departamento de Matemáticas, Universidad Sergio Arboleda …

In the present article, we study three families of polynomials associated with the r-Whitney
numbers of the second kind. They are the r-Dowling polynomials, r-Whitney–Fubini …

We introduce new combinatorial and algebraic definitions for the generalized Stirling
numbers of Hsu and Shiue, and we use the interplay between these definitions to extend …

The notions of r-Bell polynomials and their generalization, the r-Dowling polynomials are
due to Mező and Cheon, Jung. Recently, Nyul and Rácz defined the r-Lah polynomials …

The central factorial numbers of the second kind appear in the expansion of powers of x in
terms of the central factorial sequence. The central factorial numbers are at least as …

In this paper, we establish an explicit formula for r-Dowling numbers in terms of r-Whitney
Lah and r-Whitney numbers of the second kind. This is a generalization of the Qi formula for …

In this paper, we give a combinatorial interpretation of the $ r $-Whitney-Eulerian numbers
by means of coloured signed permutations. This sequence is a generalization of the well …

Nous donnons une interprétation combinatoire des nombres de Lah en termes de réseaux
plans. Puis, comme conséquence du lemme de Lidström, nous en déduisons que la matrice …