Results 41 to 50 of about 9,463,328 (331)
Journal of Mathematical Analysis and Applications, 2009 AbstractBy combining inverse series relations with binomial convolutions and telescoping method, moments of Catalan numbers are evaluated, which resolves a problem recently proposed by Gutiérrez et al. [J.M. Gutiérrez, M.A. Hernández, P.J. Miana, N. Romero, New identities in the Catalan triangle, J. Math. Anal. Appl. 341 (1) (2008) 52–61].
CHEN X., CHU, Wenchang
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New Expressions for Sums of Products of the Catalan Numbers
Axioms, 2021 In this paper, we perform a further investigation for the Catalan numbers. By making use of the method of derivatives and some properties of the Bell polynomials, we establish two new expressions for sums of products of arbitrary number of the Catalan ...
Conghui Xie, Yuan He
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Consecutive patterns in Catalan words and the descent distribution
Boletín de la Sociedad Matematica Mexicana, 2023 In this paper, we compute the distribution of the descent statistic on the Catalan words avoiding a consecutive pattern of length at most three. Baril–Kirgizov–Vajnovszki began the study of patterns in Catalan words, focusing on the enumeration of those ...
J. L. Ramírez, Alejandra Rojas-Osorio
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Holonomic equations and efficient random generation of binary trees [PDF]
Discrete Mathematics & Theoretical Computer ScienceHolonomic equations are recursive equations which allow computing efficiently numbers of combinatoric objects. Rémy showed that the holonomic equation associated with binary trees yields an efficient linear random generator of binary trees.
Pierre Lescanne
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Changes in prescription drug abuse during the COVID-19 pandemic evidenced in the Catalan pharmacies
Frontiers in Public Health, 2023 Introduction The impact of a pandemic on the mental health of the population is to be expected due to risk factors such as social isolation. Prescription drug abuse and misuse could be an indicator of the impact of the COVID-19 pandemic on mental health.
M. Perelló +7 more
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On the Euler function of the Catalan numbers [PDF]
Journal of Number Theory, 2012 AbstractWe study the solutions of the equation ϕ(Cm)/ϕ(Cn)=r, where r is a fixed rational number, Ck is the kth Catalan number and ϕ is the Euler function. We note that the number r=4 is special for this problem and for it we construct solutions (m,n) to the above equation which are related to primes p such that 2p−1 or 4p−3 is also prime.
Luca, Florian, Stănică, Pantelimon
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The Catalan Surveillance Network of SARS-CoV-2 in Sewage: design, implementation, and performance
Scientific Reports, 2022 Wastewater-based epidemiology has shown to be an efficient tool to track the circulation of SARS-CoV-2 in communities assisted by wastewater treatment plants (WWTPs).
L. Guerrero-Latorre +39 more
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A Note on Super Catalan Numbers [PDF]
Interdisciplinary Information Sciences, 2012 4 pages. Revised and Accepted. To appear in Interdisciplinary Information Sciences (IIS)
Evangelos Georgiadis +2 more
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The NADPH oxidase NOX4 regulates redox and metabolic homeostasis preventing HCC progression
Hepatology, EarlyView., 2022 Loss of NOX4 in HCC tumor cells induces metabolic reprogramming in a Nrf2/MYC‐dependent manner to promote HCC progression. Abstract Background and Aims The NADPH oxidase NOX4 plays a tumor‐suppressor function in HCC. Silencing NOX4 confers higher proliferative and migratory capacity to HCC cells and increases their in vivo tumorigenic potential in ...
Irene Peñuelas‐Haro +14 more
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Volterra Chain and Catalan Numbers [PDF]
JETP Letters, 2018 4 pages, 2 ...
Alexey Borisovich Shabat +1 more
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