International audienceWe prove the following conjecture of Zeilberger. Denoting by C-n the Catalan number, define inductively A(n) by (-1)(n-1) A(n) = Cn + Sigma(n-1)(j=1) (-1)(j) ((2n-1)(2j-1))A(j)C(n-j) and a(n) = 2A(n)/C-n. Then a,, (hence A(n)) is a positive integer. (C) 2012 Elsevier Inc. All rights reserved
In this paper we determine the parity of some sequences which are related to Catalan numbers. Also w...
AbstractWe prove various congruences for Catalan and Motzkin numbers as well as related sequences. T...
AbstractWe present here a proof that a certain rational function Cn(q,t) which has come to be known ...
International audienceWe prove the following conjecture of Zeilberger. Denoting by C-n the Catalan n...
AbstractWe prove the following conjecture of Zeilberger. Denoting by Cn the Catalan number, define i...
In this paper, we consider sequences comprised of n (m − 1)’s and r −1’s (where m ≥ 2) with the sum ...
Abstract We prove various congruences for Catalan and Motzkin numbers as well as related sequences. ...
The latest talk in the Mathematics Colloquium Series will convey the richness and diversity of the f...
This thesis is an exposition of different methods in generating the Catalan Sequence and some applic...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
U današnje vrijeme su nizovi brojeva od posebnog interesa jer se pojavljuju u mnogim matematičkim p...
In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-expl...
AbstractIn this paper, yet another occurrence of the Catalan numbers is presented; it is shown that ...
We define a q generalization of weighted Catalan numbers studied by Postnikov and Sagan, and prove a...
AbstractThe Catalan conjecture asserts that the equation XU−YV=1 with U,V>1 has no other solution in...
In this paper we determine the parity of some sequences which are related to Catalan numbers. Also w...
AbstractWe prove various congruences for Catalan and Motzkin numbers as well as related sequences. T...
AbstractWe present here a proof that a certain rational function Cn(q,t) which has come to be known ...
International audienceWe prove the following conjecture of Zeilberger. Denoting by C-n the Catalan n...
AbstractWe prove the following conjecture of Zeilberger. Denoting by Cn the Catalan number, define i...
In this paper, we consider sequences comprised of n (m − 1)’s and r −1’s (where m ≥ 2) with the sum ...
Abstract We prove various congruences for Catalan and Motzkin numbers as well as related sequences. ...
The latest talk in the Mathematics Colloquium Series will convey the richness and diversity of the f...
This thesis is an exposition of different methods in generating the Catalan Sequence and some applic...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
U današnje vrijeme su nizovi brojeva od posebnog interesa jer se pojavljuju u mnogim matematičkim p...
In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-expl...
AbstractIn this paper, yet another occurrence of the Catalan numbers is presented; it is shown that ...
We define a q generalization of weighted Catalan numbers studied by Postnikov and Sagan, and prove a...
AbstractThe Catalan conjecture asserts that the equation XU−YV=1 with U,V>1 has no other solution in...
In this paper we determine the parity of some sequences which are related to Catalan numbers. Also w...
AbstractWe prove various congruences for Catalan and Motzkin numbers as well as related sequences. T...
AbstractWe present here a proof that a certain rational function Cn(q,t) which has come to be known ...
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