The k-Generalized Lucas Numbers Close to a Power of 2
-
Abdullah Açikel
and
László Szalay
ABSTRACT
Let k ≥ 2 be a fixed integer. The k-generalized Lucas sequence
in the non-negative integers k, n, and m. This problem is equivalent to the resolution of the equation
Funding statement: For L. Szalay, the research was supported in part by National Research, Development and Innovation Office Grant 2019-2.1.11-TÉT-2020-00165, by Hungarian National Foundation for Scientific Research Grant No. 128088 and No. 130909, and by the Slovak Scientific Grant Agency VEGA 1/0776/21.
Acknowledgement
We are grateful the referee for calling our attention to an extension possibility of the former problem by considering the notion of closeness. We thank also V. Csanady for fitting the saturation curve.
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© 2023 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- A Note on Special Subsets of the Rudin-Frolík Order for Regulars
- The 2-Class Group of Certain Families of Imaginary Triquadratic Fields
- The Deranged Bell Numbers
- On Index and Monogenity of Certain Number Fields Defined by Trinomials
- The k-Generalized Lucas Numbers Close to a Power of 2
- Shifted Power of a Polynomial with Integral Roots
- Further Insights into the Mysteries of the Values of Zeta Functions at Integers
- Memoryless Properties on Time Scales
- A Study of the Higher-Order Schwarzian Derivatives of Hirotaka Tamanoi
- Besov and Triebel-Lizorkin Capacity in Metric Spaces
- Oscillation of Odd Order Linear Differential Equations with Deviating Arguments with Dominating Delay Part
- An Elliptic Type Inclusion Problem on the Heisenberg Lie Group
- Existence Result for a Double Phase Problem Involving the (p(x), q(x))-Laplacian Operator
- A New Series Space Derived by Absolute Generalized Nörlund Means
- Examples of Weinstein Domains in the Complement of Smoothed Total Toric Divisors
- The Uniform Effros Property and Local Homogeneity
- Limit Theorems for Weighted Sums of Asymptotically Negatively Associated Random Variables Under Some General Conditions
- The Unit-Gompertz Quantile Regression Model for the Bounded Responses
- An Extended Gamma-Lindley Model and Inference for the Prediction of Covid-19 in Tunisia
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