将数字表示为三个帕多万数的和。

IF 0.9 Q2 MATHEMATICS BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA Pub Date : 2020-01-01 Epub Date: 2019-11-21 DOI:10.1007/s40590-019-00269-9

Mahadi Ddamulira

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引用次数: 4

摘要

让{P n的n≥0被P Padovan之序列数字:0 = 0,P = 1 = P = 2, n和P P P + 3 = n + 1 + n”为所有n≥0。在这篇文章中，我们发现了基地10号的所有数据，这些数据可以作为三个帕多万的数字的总和写下来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Repdigits as sums of three Padovan numbers.

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.