<abstract xmlns="http://www.w3.org/1999/xhtml">We continue the study, initiated with Imre Ruzsa, of the last non zero digit ℓ12(<italic>n</italic>!) of <italic>n</italic>! in base 12, showing that for any <italic>a</italic> ∈ {3, 4, 6, 8, 9}, the set of those integers <italic>n</italic> for which ℓ12(<italic>n</italic>!) = <italic>a</italic> is not 3-automatic.</abstract>

We continue the study, initiated with Imre Ruzsa, of the last non zero digit ℓ12(n!) of n! in base 12, showing that for any a ∈ {3, 4, 6, 8, 9}, the set of those integers n for which ℓ12(n!) = a is not 3-automatic.

Yet Another Footnote to <italic>the Least Non Zero Digit of n</italic>! <italic>in Base</italic> 12

jean-marc.deshouillers@math.u-bordeaux.fr

Université de Bordeaux, Bordeaux INP et CNRS, Institut mathématique de Bordeaux, UMR 5465, 33405 TALENCE Cedex,

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We continue the study, initiated with Imre Ruzsa, of the last non zero digit ℓ12(n!) of n! in base 12, showing that for any a ∈ {3, 4, 6, 8, 9}, the set of...

Yet Another Footnote to the Least Non Zero Digit of n! in Base 12

Published Online: Jan 13, 2017

Page range: 163 - 167

Received: Mar 26, 2016

Accepted: Oct 13, 2016

DOI: https://doi.org/10.1515/udt-2016-0018

Keywords
radix representation, automatic sequences, significant digit, factorial, base 12

© 2016 Jean-Marc Deshouillers, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Yet Another Footnote to the Least Non Zero Digit of n! in Base 12

Published Online: Jan 13, 2017

Page range: 163 - 167

Received: Mar 26, 2016

Accepted: Oct 13, 2016

DOI: https://doi.org/10.1515/udt-2016-0018

Keywordsradix representation, automatic sequences, significant digit, factorial, base 12

© 2016 Jean-Marc Deshouillers, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
radix representation, automatic sequences, significant digit, factorial, base 12