Repdigits as sums of three Padovan numbers

Mahadi Ddamulira

doi:10.1007/s40590-019-00269-9

Repdigits as sums of three Padovan numbers

Mahadi Ddamulira

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

Let {Pn}n≥0 be the sequence of Padovan numbers defined by P= 0 , P ₁= 1 = P ₂, 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.

Original language	English
Pages (from-to)	247 - 261
Number of pages	15
Journal	Boletín de la Sociedad Matemática Mexicana
Volume	26
Issue number	2
Early online date	21 Nov 2019
DOIs	https://doi.org/10.1007/s40590-019-00269-9
Publication status	Published - 1 Jul 2020

ASJC Scopus subject areas

Algebra and Number Theory

Fields of Expertise

Information, Communication & Computing

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10.1007/s40590-019-00269-9Licence: CC BY 4.0

Cite this

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title = "Repdigits as sums of three Padovan numbers",

abstract = "Let {Pn}n≥0 be the sequence of Padovan numbers defined by P= 0 , P 1= 1 = P 2, 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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AB - Let {Pn}n≥0 be the sequence of Padovan numbers defined by P= 0 , P 1= 1 = P 2, 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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Repdigits as sums of three Padovan numbers

Abstract

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