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Repdigits as sums of three Pell numbers

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Abstract

In this paper, all base 10 repdigits expressible as sums of three Pell numbers are found.

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Acknowledgements

The authors thank the referee for a careful reading of the manuscript and for comments which improved its quality. F. L. was supported in part by Grant CPRR160325161141 and an A-rated scientist award both from the NRF of South Africa and by Grant No. 17-02804S of the Czech Granting Agency. This paper was started during a visit of A.T. at the School of Mathematics of Wits University in August, 2017. This author thanks this institution for its hospitality and the CoEMaSS at Wits for support.

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Authors and Affiliations

  1. Institut de Mathématiques et de Sciences Physiques, Dangbo, Benin

    Benedict Vasco Normenyo

  2. School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa

    Florian Luca

  3. Department of Mathematics, Faculty of Sciences, University of Ostrava, 30 Dubna 22, 701 03, Ostrava 1, Czech Republic

    Florian Luca

  4. Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S, U.S. 421, Westville, IN, 46391, USA

    Alain Togbé

Authors
  1. Benedict Vasco Normenyo
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  2. Florian Luca
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  3. Alain Togbé
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Correspondence to Alain Togbé.

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Normenyo, B.V., Luca, F. & Togbé, A. Repdigits as sums of three Pell numbers. Period Math Hung 77, 318–328 (2018). https://doi.org/10.1007/s10998-018-0247-y

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  • DOI: https://doi.org/10.1007/s10998-018-0247-y

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