Padovan numbers that are concatenations of two distinct repdigits
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Mahadi Ddamulira
Abstract
Let (Pn)n≥0 be the sequence of Padovan numbers defined by P0 = 0, P1 = 1 = P2, and Pn+3 = Pn+1 +Pn for all n ≥ 0. In this paper, we find all Padovan numbers that are concatenations of two distinct repdigits.
The author is supported by the Austrian Science Fund (FWF) projects: F5510-N26 – Part of the special research program (SFB), “Quasi-Monte Carlo Methods: Theory and Applications” and W1230 –“Doctoral Program Discrete Mathematics”.
Acknowledgement
The author thanks the anonymous referees for their useful comments and suggestions that greatly improved the quality of presentation of the current paper.
(Communicated by István Gaál )
References
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© 2021 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- Regular papers
- Prof. RNDr. Michal Fečkan, DrSc. – Sexagenarian?
- Tribonacci numbers with two blocks of repdigits
- Padovan numbers that are concatenations of two distinct repdigits
- On the 2-rank and 4-rank of the class group of some real pure quartic number fields
- A general inverse matrix series relation and associated polynomials – II
- Some hardy type inequalities with finsler norms
- Starlikeness and convexity of the product of certain multivalent functions with higher-order derivatives
- Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle
- How is the period of a simple pendulum growing with increasing amplitude?
- Fourier transforms of convolution operators on orlicz spaces
- Some characterizations of property of trans-Sasakian 3-manifolds
- P-Adic metric preserving functions and their analogues
- On statistical convergence of sequences of closed sets in metric spaces
- A characterization of the uniform convergence points set of some convergent sequence of functions
- A nonparametric estimation of the conditional ageing intensity function in censored data: A local linear approach
- Donsker’s fuzzy invariance principle under the Lindeberg condition
- Characterization of generalized Gamma-Lindley distribution using truncated moments of order statistics
- Matrix variate pareto distributions
- Global exponential periodicity and stability of neural network models with generalized piecewise constant delay
- Optimal inequalities for contact CR-submanifolds in almost contact metric manifolds
