Repdigits as sums of three Padovan numbers

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Let $ \{P_{n}\}_{n\geq 0} $ be the sequence of Padovan numbers defined by $ P_0=0 $, $ P_1 =1=P_2$, and $ P_{n+3}= P_{n+1} +P_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 Padovan numbers.
Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalBoletín de la Sociedad Matemática Mexicana
Publication statusE-pub ahead of print - 21 Nov 2019

ASJC Scopus subject areas

  • Algebra and Number Theory

Fields of Expertise

  • Information, Communication & Computing

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