Results 121 to 130 of about 1,655,826 (313)
Taylor expansions for Catalan and Motzkin numbers [PDF]
, 2002 In this paper we introduce two new expansions for the generating functions of Catalan numbers and Motzkin numbers. The novelty of the expansions comes from writing the Taylor remainder as a functional of the generating function.
Liu, Shu-Chung +2 more
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Simple Rules of a Discrete Stochastic Process Leading to Catalan-like Recurrences
AlgorithmsA method for obtaining integer sequences is presented by defining simple rules for the evolution of a discrete dynamical system. This paper demonstrates that various Catalan-like recurrences of known integer sequences can be obtained from a single ...
Mariusz Białecki
doaj +1 more source
A determinant property of Catalan numbers
Discrete Mathematics, 2000 Let \(M_k^t\) denote the \(k \times k\) (persymmetric) matrix having the consecutive Catalan numbers starting at \(c_t\) as row one, those starting at \(c_{t+1}\) as row two, etc. Now define \(G\) to be the infinite digraph with vertex set \({\mathbb{Z}} \times {\mathbb{Z}}\) and with directed arcs from \((i,j)\) to \((i+1,j)\), and to \({(i,j+1 ...
Michael E. Mays, Jerzy Wojciechowski
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Don't Just Train, Inspire: The Critical Role of Motivation in Corporate Green Behavior
Business Strategy and the Environment, EarlyView.ABSTRACT This study examines how green training influences corporate green behavior, with a particular focus on the mediating role of organizational green motivation. Drawing on the resource‐based view and the ability‐motivation‐opportunity framework, we propose a model in which green training builds environmental capability and fosters motivation ...
Marta Mas‐Machuca +2 more
wiley +1 more source
Paperfolding and Catalan numbers [PDF]
, 2004 We reprove a few results concerning paperfolding sequences using properties of Catalan numbers modulo ...
Bacher, Roland
core
Ears of triangulations and Catalan numbers
Discrete Mathematics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferran Hurtado, Marc Noy
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Financial Health and Environmental Transparency in the Catalan Pharmaceutical Sector (2019–2023)
Corporate Social Responsibility and Environmental Management, EarlyView.ABSTRACT This study examines the relationship between financial health (2019–2023) and the transparency of environmental information disclosure in leading Catalan pharmaceutical companies. Based on an economic–financial analysis of financial statements and environmental information reported in accordance with the European Sustainability Reporting ...
Núria Arimany‐Serrat +3 more
wiley +1 more source
Some Combinatorial Interpretations and Applications of Fuss-Catalan Numbers [PDF]
, 2011 Fuss-Catalan number is a family of generalized Catalan numbers. We begin by two definitions of Fuss-Catalan numbers and some basic properties. And we give some combinatorial interpretations different from original Catalan numbers.
Chin-Hung Lin
core +1 more source
Ecography, EarlyView.Understanding how deterministic and stochastic processes influence the shape of microorganism community assembly across different spatial scales is essential for disentangling biodiversity patterns. Mires are nutrient‐poor and heterogeneous wetlands that form isolated habitats supporting highly diverse diatom assemblages, particularly in mountainous ...
Fernanda Gonzalez‐ Saldias +4 more
wiley +1 more source
Action graphs and Catalan numbers
J. Integer Seq., 2015 We introduce an inductively defined sequence of directed graphs and prove that the number of edges added at step $k$ is equal to the $k$th Catalan number. Furthermore, we establish an isomorphism between the set of edges adjoined at step $k$ and the set of planar rooted trees with $k$ edges.
Gerardo Alvarez +2 more
openaire +4 more sources