Results 31 to 40 of about 19,167 (257)
AN ALTERNATIVE DECOMPOSITION OF CATALAN NUMBER [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2018 A particular integer sequence derived by the convex polygon triangulation is introduced and investigated. After some underlying results are presented, the forbidden (or improper) integer values relative to the triangulation are concerned. It is understood that the forbidden sequences do not correspond to any triangulation.
Krtolica, Predrag +2 more
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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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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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IDEAS AND PROJECTS IN THE FIELD OF ARCHITECTURE AND URBANISM FROM THE MATERIALS OF THE CATALAN PERIODICALS OF THE SECOND REPUBLIC [PDF]
Латиноамериканский исторический альманах, 2021 Catalan architects who were members of the G.A.T.C.P.A.C. associa-tion and the Association of Architects of Catalonia (SAC) were con-cerned about social, demographic and sanitary issues.
Nataliya Kuzina
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Chromatic statistics for Catalan and Fuß-Catalan numbers
Electronic Journal of Combinatorics, 2011 We refine Catalan numbers and Fuß-Catalan numbers by introducing colour statistics for triangulations of polygons and $d$-dimensional generalisations there-of which we call Fuß-Catalan complexes. Our refinements consist in showing that the number of triangulations, respectively Fuß-Catalan complexes, with a given colour distribution of its vertices is ...
Bacher, Roland, Krattenthaler, Christian
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Journal of Combinatorial Theory, Series A, 1985 Let \(C_ n\) be the set of Catalan words: binary words with n zeros and n ones such that each initial segment has at least as many zeros and ones. For \(w\in C_ n\), let d(w) be the number of descents, a(w) be the sum over all descents of the number of zeros to the left, b(w) be the sum over all descents of the number of ones to the left.
J. Fürlinger, Josef Hofbauer
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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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Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]
Notes on Number Theory and Discrete MathematicsWe find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele +1 more
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A generalization of Catalan numbers
Discrete Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Vera-López +3 more
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Catalan pairs: A relational-theoretic approach to Catalan numbers
Advances in Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filippo Disanto +3 more
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