Repdigits as sums of four Pell numbers
In this paper, all base 10 repdigits expressible as sums of four Pell numbers are found.
KeywordsPell numbers Rep-digit Linear forms in complex and p-adic logarithms
Mathematics Subject Classification11A25 11B39 11J86
F. L. was supported in part by grant CPRR160325161141 and an A-rated scientist award both from the NRF of South Africa, the Focus Area: Number Theory grant from CoEMaSS, Wits, and by grant no. 17-02804S of the Czech Granting Agency. The authors would like to thank the referee for the valuable comments to improve the manuscript.
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