Automaticity of the sequence of the last nonzero digits of n! in a fixed base

被引：3

作者：

Lipka, Eryk ^{[1
,2
]}

机构：

[1] Potok 448, PL-38404 Krosno, Poland

[2] Pedag Univ Cracow, Inst Math, Krakow, Poland

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2019年 / 31卷 / 01期

关键词：

Automatic sequence; Factorial; The last nonzero digit;

D O I：

10.5802/jtnb.1080

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2011 Deshouillers and Ruzsa [5] tried to argue that the sequence of the last nonzero digit of n! in base 12 is not automatic. This statement was proven a few years later by Deshoulliers in [4]. In this paper we provide an alternate proof that lets us generalize the problem and give an exact characterization of the bases for which the sequence of the last nonzero digits of n! is automatic.

引用

页码：283 / 291

页数：9

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