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arXiv · 2212.10831

Padovan numbers which are concatenations of three repdigits

Kisan Bhoi·Prasanta Kumar Ray
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Abstract

Padovan sequence is a ternary recurrent sequence defined by the recurrence relation $P_{n+3}=P_{n+1}+P_{n}$ with initial terms $P_{0}=P_{1}=P_{2}=1.$ In this study it is shown that $114,151,200,265,351,465,616,816,3329,4410,7739,922111$ are the only Padovan numbers which are concatenations of three repdigits.

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Kisan Bhoi, Prasanta Kumar Ray. 2022-12-21. Padovan numbers which are concatenations of three repdigits. https://arxiv.org/abs/2212.10831

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