AbstractTwo equations relate the well-known Catalan numbers with the relatively unknown Motzkin numbers which suggest that the combinatorial settings of the Catalan numbers should also yield Motzkin numbers. In this paper we provide a representative selection of 14 situations where the Motzkin numbers occur along with the Catalan numbers
We study a linear doubly indexed sequence that contains the Catalan numbers and relates to a class o...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
AbstractThe purpose of this note is to give a combinatorial proof of the three-term linear recurrenc...
AbstractTwo equations relate the well-known Catalan numbers with the relatively unknown Motzkin numb...
AbstractIn this paper we introduce two new expansions for the generating functions of Catalan number...
AbstractIn this paper Motzkin numbersMn(which are related to Catalan numbers) are studied. The (know...
AbstractFour equations are presented relating the well-known Catalan numbers and the Motzkin numbers...
AbstractA class of numbers, called Catalan-like numbers, are introduced which unify many well-known ...
AbstractWe prove various congruences for Catalan and Motzkin numbers as well as related sequences. T...
AbstractIn this paper Motzkin numbersMn(which are related to Catalan numbers) are studied. The (know...
Abstract We prove various congruences for Catalan and Motzkin numbers as well as related sequences. ...
AbstractFor every integer j⩾1, we define a class of permutations in terms of certain forbidden subse...
AbstractSome new sequences are introduced which satisfy quadratic recurrence rules similar to those ...
AbstractIn this paper we introduce two new expansions for the generating functions of Catalan number...
AbstractIn this paper, we compute the congruences of Catalan and Motzkin numbers modulo 4 and 8. In ...
We study a linear doubly indexed sequence that contains the Catalan numbers and relates to a class o...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
AbstractThe purpose of this note is to give a combinatorial proof of the three-term linear recurrenc...
AbstractTwo equations relate the well-known Catalan numbers with the relatively unknown Motzkin numb...
AbstractIn this paper we introduce two new expansions for the generating functions of Catalan number...
AbstractIn this paper Motzkin numbersMn(which are related to Catalan numbers) are studied. The (know...
AbstractFour equations are presented relating the well-known Catalan numbers and the Motzkin numbers...
AbstractA class of numbers, called Catalan-like numbers, are introduced which unify many well-known ...
AbstractWe prove various congruences for Catalan and Motzkin numbers as well as related sequences. T...
AbstractIn this paper Motzkin numbersMn(which are related to Catalan numbers) are studied. The (know...
Abstract We prove various congruences for Catalan and Motzkin numbers as well as related sequences. ...
AbstractFor every integer j⩾1, we define a class of permutations in terms of certain forbidden subse...
AbstractSome new sequences are introduced which satisfy quadratic recurrence rules similar to those ...
AbstractIn this paper we introduce two new expansions for the generating functions of Catalan number...
AbstractIn this paper, we compute the congruences of Catalan and Motzkin numbers modulo 4 and 8. In ...
We study a linear doubly indexed sequence that contains the Catalan numbers and relates to a class o...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
AbstractThe purpose of this note is to give a combinatorial proof of the three-term linear recurrenc...
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