论文标题
在一般Smarandache的Sigma数字产品上
On the general Smarandache's sigma product of digits
论文作者
论文摘要
本文研究了A061076在OEIS上给出的最著名的Smarandache序列之一的行为。特别是我们首先研究了两个序列（A061077，A061078）的行为，与主要Smarandache的数字sigma产物严格相关。我们将解决一些开放问题，例如确定这些序列的上限（对于所有\ mathbb {n} $中的所有$ n \），以及为每个$ a（n）$和$ b（n）$的封闭公式确定。然后结合这些结果，可以了解一般序列$ c（n）$的行为。每个结果都将伴随Wolfram Mathematica脚本示例，以支持我们的论文。
This paper investigates the behaviour of one of the most famous Smarandache's sequence given by A061076 on oeis. In particular we first study the behaviour of two sequences (A061077, A061078) strictly connected with the main Smarandache's sigma product of digits. We'll solve some open problems such as the determination of an upper bound for these sequences (which hold for all $n\in\mathbb{N}$) and the determination of a closed formula for each $a(n)$ and $b(n)$. Then combining these results it will be possible to understand the behaviour of the general sequence $c(n)$. Every result will be accompanied by Wolfram Mathematica scripts examples in order to support our thesis.
