Results 31 to 40 of about 23,659 (299)

Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
We 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
doaj   +1 more source

A generalization of Catalan numbers

open access: yesDiscrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Vera-López   +3 more
openaire   +2 more sources

Catalan pairs: A relational-theoretic approach to Catalan numbers

open access: yesAdvances in Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filippo Disanto   +3 more
openaire   +5 more sources

On the mean value of some new sequences [PDF]

open access: yes, 2010
The main purpose of this paper is using the elementary and analytic methods to study the mean value properties of the Smarandache repetitional sequence, and give two asymptotic formulas for ...
Jiao, Chen
core   +1 more source

The NADPH oxidase NOX4 regulates redox and metabolic homeostasis preventing HCC progression

open access: yesHepatology, 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
wiley   +1 more source

Growing and Destroying Catalan-Stanley Trees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
Stanley lists the class of Dyck paths where all returns to the axis are of odd length as one of the many objects enumerated by (shifted) Catalan numbers.
Benjamin Hackl, Helmut Prodinger
doaj   +1 more source

Spoken and Written Representation of Number in L2 Catalan Indefinite Determiner Phrases [PDF]

open access: yes, 2020
The study explores the relationship that second language (L2) learners of Catalan establish between the spoken and the written representation of number inflection within an indefinite-article Determiner Phrase (DP); and it also addresses first language ...
Perera i Parramon, Joan   +2 more
core  

Simplifying coefficients in differential equations for generating function of Catalan numbers

open access: yesJournal of Taibah University for Science, 2019
In the paper, by the Faà di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients in two families of nonlinear ordinary differential equations for the generating ...
Feng Qi, Yong-Hong Yao
doaj   +1 more source

Counting lattice points on bargraphs of Catalan Words [PDF]

open access: yes, 2022
ilustraciones, gráficasLas palabras de Catalan son palabras sobre los números naturales cuyo crecimiento está restringido. El conjunto de palabras de Catalan está enumerado por los números de Catalan.
Toquica Arenas, Diana Andrea
core  

On a new congruence in the Catalan triangle [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
For 0≤k≤n, the number C(n,k) represents the number of all lattice paths in the plane from the point (0,0) to the point (n,k), using steps (1,0) and (0,1), that never rise above the main diagonal y = x.
Jovan Mikić
doaj   +1 more source

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