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

Jean-Marc Deshouillers
Jean-Marc Deshouillers
   | 13 janv. 2017
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Publié en ligne: 13 janv. 2017
Pages: 163 - 167
Reçu: 26 mars 2016
Accepté: 13 oct. 2016
DOI: https://doi.org/10.1515/udt-2016-0018
Mots clés
© 2016 Jean-Marc Deshouillers, published by De Gruyter Open
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 those integers n for which ℓ12(n!) = a is not 3-automatic.

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Anglais
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Sujets de la revue:
Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics
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