2 citations · 4 across the 9 of their papers we have counts for
10 papers
Partial Motzkin paths with air pockets of the first kind avoiding peaks, valleys or double rises
Jean-Luc Baril, José Luis Ramírez
Motzkin paths with air pockets (MAP) of the first kind are defined as a generalization of Dyck paths with air pockets. They are lattice paths in starting at the orig…
Polyominoes and graphs built from Fibonacci words
Sergey Kirgizov, José Luis Ramírez
We introduce the -bonacci polyominoes, a new family of polyominoes associated with the binary words avoiding consecutive 's, also called generalized -bonacci words. Th…
New modular symmetric function and its applications: Modular -Stirling numbers
Bazeniar Abdelghafour, Moussa Ahmia, José L. Ramírez +1
In this paper, we consider a generalization of the Stirling number sequence of both kinds by using a specialization of a new family of symmetric functions. We give combinatorial in…
Restricted Dyck Paths on Valleys Sequence
Rigoberto Flórez, Toufik Mansour, José L. Ramírez +2
In this paper we study a subfamily of a classic lattice path, the \emph{Dyck paths}, called \emph{restricted -Dyck} paths, in short -Dyck. A valley of a Dyck path is a lo…
Poly-Cauchy numbers -- the combinatorics behind
Beáta Bényi, José Luis Ramírez
We introduce poly-Cauchy permutations that are enumerated by the poly-Cauchy numbers. We provide combinatorial proofs for several identities involving poly-Cauchy numbers and some…
Palindromic and Colored Superdiagonal Compositions
Jazmín Mantilla, Wilson Olaya-León, José L. Ramírez
A superdiagonal composition is one in which the -th part or summand is of size greater than or equal to . In this paper, we study the number of palindromic superdiagonal comp…
On -poly-Bernoulli numbers arising from combinatorial interpretations
Beáta Bényi, José Luis Ramírez
In this paper we present several natural -analogues of the poly-Bernoulli numbers arising in combinatorial contexts. We also recall some relating analytical results and ask for…
The Pascal Rhombus and the Generalized Grand Motzkin Paths
José L. Ramírez
In the present article, we find a closed expression for the entries of the Pascal rhombus. Moreover, we show a relation between the entries of the Pascal rhombus and a family of ge…
A -analogue of the Biperiodic Fibonacci Sequence
José L. Ramírez, Víctor Sirvent
The Fibonacci sequence has been generalized in many ways. One of them is defined by the relation if is even, if is odd, with i…
Enumeration of -Fibonacci Paths using Infinite Weighted Automata
Rodrigo De Castro, José L. Ramírez
In this paper, we introduce a new family of generalized colored Motzkin paths, where horizontal steps are colored by means of colors, where is the th -Fib…