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Uniform distribution theory

The Journal of Slovak Academy of Sciences

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Mathematical Citation Quotient (MCQ) 2016: 0.40

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

Jean-Marc Deshouillers
  • Université de Bordeaux, Bordeaux INP et CNRS, Institut mathématique de Bordeaux, UMR 5465, 33405 TALENCE Cedex, France
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Published Online: 2017-01-13 | DOI: https://doi.org/10.1515/udt-2016-0018


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.

Keywords: radix representation; automatic sequences; significant digit; factorial; base 12

MSC 2010: 11A63; 11B85


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About the article

Received: 2016-03-26

Accepted: 2016-10-13

Published Online: 2017-01-13

Published in Print: 2016-12-01

Citation Information: Uniform distribution theory, Volume 11, Issue 2, Pages 163–167, ISSN (Online) 2309-5377, DOI: https://doi.org/10.1515/udt-2016-0018.

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© 2016 Jean-Marc Deshouillers, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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