Results 81 to 90 of about 56,637 (162)

CATALAN NUMBERS MODULO A PRIME POWER

, 2014
See the abstract in the attached ...
Chen, Yong-Gao, Jiang, Wen
openaire   +2 more sources

Pell Leonardo numbers and their matrix representations

Journal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj   +1 more source

On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
doaj   +1 more source

On Gersenne Sequence: A Study of One Family in the Horadam-Type Sequence

Axioms
This study introduces an innovative approach to Mersenne-type numbers. This paper introduces a new class of numbers, which we call Gersenne numbers. The aim of this paper is to define the Gersenne sequence and to investigate some of their properties ...
Douglas Catulio Santos, Eudes Antonio Costa, Paula M. M. C. Catarino   +2 more
doaj   +1 more source

Remarks on Catalan and super-Catalan numbers [PDF]

Banach Center Publications, 2011
Anna Dorota Krystek, Łukasz Jan Wojakowski   +1 more
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The First Study of Mersenne--Leonardo Sequence

Communications in Advanced Mathematical Sciences
In this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation,
Paula Maria Machado Cruz Catarino, Eudes Antonio Costa   +1 more
doaj   +1 more source

Some properties of the Catalan-Qi function related to the Catalan numbers. [PDF]

Springerplus, 2016
Qi F, Mahmoud M, Shi XT, Liu FF.
europepmc   +1 more source

A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients

Communications in Advanced Mathematical Sciences
In this study, we define a new generalization of the hybrid $k$-Pell sequence consisting of hybrid numbers with generalized hybrid $k$-Pell numbers as coefficients.
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

From entanglement witness to generalized Catalan numbers. [PDF]

Sci Rep, 2016
Cohen E, Hansen T, Itzhaki N.
europepmc   +1 more source

Paperfolding and Catalan numbers

, 2004
We reprove a few results concerning paperfolding sequences using properties of Catalan numbers modulo 2.
openaire   +2 more sources