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

Jean-Marc Deshouillers

Deshouillers, Jean-Marc

Jan 13, 2017

Yet Another Footnote to the Least Non Zero Digit of n! in Base 12's Cover Image

Uniform distribution theory

Volume 11 (2016): Issue 2 (December 2016)

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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.

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.

Language:: English

Publication timeframe:: 2 times per year
Journal Subjects:: Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics

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