What is it about?

Let $ \{B_{n}\}_{n\geq 0} $ be the sequence of balancing numbers defined by $ B_0=0 $, $ B_1 =1$, and $ B_{n+2}= 6B_{n+1} -B_n$ for all $ n\geq 0 $. In this paper, we find all repdigits in base $ 10 $ which can be written as a sum of three balancing numbers.

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Why is it important?

Applied Baker's methods

Perspectives

Computations are done with the help of a computer program in Mathematica.

Dr.rer.nat. M.Sc. Mahadi Ddamulira
Technische Universitat Graz

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This page is a summary of: Repdigits as sums of three balancing numbers, Mathematica Slovaca, June 2020, De Gruyter, DOI: 10.1515/ms-2017-0371.
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