The mathematics of generalized Fibonacci sequences: Binet's formula and identities [PDF]
Mathematica MoravicaThis article considers a generalized Fibonacci sequence {Vn} with general initial conditions, V0 = a, V1 = b, and a versatile recurrence relation Vn = pVn-1 + qVn-2, where n ≥ 2 and a, b, p and q are any non-zero real numbers. The generating function and
Verma K.L.
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Extending generalized Fibonacci sequences and their binet-type formula [PDF]
Advances in Difference Equations, 2006 We study the extension problem of a given sequence defined by a finite order recurrence to a sequence defined by an infinite order recurrence with periodic coefficient sequence.
Saeki Osamu, Rachidi Mustapha
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Multiparameter Quantum Cauchy-Binet Formulas [PDF]
Algebras and Representation Theory, 2020 The quantum Cayley-Hamilton theorem for the generator of the reflection equation algebra has been proven by Pyatov and Saponov, with explicit formulas for the coefficients in the Cayley-Hamilton formula. However, these formulas do not give an \emph{easy} way to compute these coefficients.
Karlin, Samuel, Rinott, Yosef
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Association Between Micronutrients and Cognitive Performance Among Adolescents and Young Adults Living With Sickle Cell Disease in Kumasi, Ghana: A Cross-Sectional Study. [PDF]
EJHaemABSTRACT Aim Cognitive deficits are commonly reported in patients with sickle cell disease (SCD). Dietary micronutrient intake is a potential modifiable risk factor whose relationship with cognition in SCD patients remains poorly characterised. This study aimed to determine the association between dietary micronutrient intake and cognition among these ...
Kegya AD +4 more
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Algorithm for Constructing an Analogue of the Binet Formula [PDF]
Programming and Computer Software, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuzovatov, V. I. +2 more
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Infection Incidence and Survival in Patients With Multiple Myeloma and Chronic Lymphocytic Leukaemia: A Growing Concern in the Era of Modern Therapies. [PDF]
EJHaemABSTRACT Introduction Patients with multiple myeloma (MM) and chronic lymphocytic leukaemia (CLL) are burdened by immunodeficiency due to treatment and underlying disease. Infection‐related mortality remains a significant concern for patients' overall survival (OS). Methods This Swedish, population‐based study examined incidence of infections and OS in
Glimelius I +6 more
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The generalized Binet formula for $k$-bonacci numbers
Elemente der Mathematik, 2023 Using Vandermonde determinants, we give a simple proof of the generalization of the Binet formula to the k -bonacci numbers.
Parks, Harold R., Wills, Dean C.
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Dirichlet Convolution and the Binet Formula
, 2023 Summary: The main aim of this note is to show that the set of closed triples of generalized Fibonacci arithmetic functions under the Dirichlet convolution is a singleton set. This unique Dirichlet convolution identity is the Binet Fibonacci number formula in terms of arithmetic functions and the Dirichlet convolution.
Schwab, Emil Daniel, Schwab, Gabriela
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Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
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On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers
Axioms, 2023 Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems.
Elen Viviani Pereira Spreafico +2 more
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