Repdigits as sums of three Padovan numbers

2019/07/10 by Ddamulira, Mahadi
#11B39 #11D45 #11D61 #11J86 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1907.07231

Abstract

Let \P_n\_{n≥ 0} be the sequence of Padovan numbers defined by P₀=0 , P₁ =1=P₂ and P_n+3= P_n+1 +P_n for all n≥ 0 . In this paper, we find all repdigits in base 10 which can be written as a sum of three Padovan numbers.

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