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Algebra and Discrete Mathematics, 2018, Volume 25, Issue 2, Pages 303–310 (Mi adm661)  
RESEARCH ARTICLE

The growth function of the adding machine

Volodymyr Skochko

Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko Univ., Volodymyrska str., 64, 01033 Kyiv, Ukraine
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Abstract: We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.
Keywords: automaton, growth function, adding machine.
Received: 22.10.2016
Revised: 27.11.2016
Document Type: Article
MSC: 20M35, 68Q70
Language: English
Citation: Volodymyr Skochko, “The growth function of the adding machine”, Algebra Discrete Math., 25:2 (2018), 303–310
Citation in format AMSBIB
\Bibitem{Sko18}
\by Volodymyr~Skochko
\paper The growth function of the adding machine
\jour Algebra Discrete Math.
\yr 2018
\vol 25
\issue 2
\pages 303--310
\mathnet{http://mi.mathnet.ru/adm661}
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