%pile.tex:  Using Symbolic Computation to Analyze some Childish Board Games
%%a Plain TeX file by Thotsaporn Aek Thanatipanonda and Doron Zeilberger (x pages)

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{\bf  
Statistical Analysis of Pile Games using Symbolic Computation 
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{\it Thotsaporn ``Aek'' THANATIPANONDA and Doron ZEILBERGER}
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{\bf Abstract.} 

{\bf The Maple packages.} This article is accompanied by three Maple packages 

$\bullet$ {\tt SnakesAndLadders.txt} 

$\bullet$ {\tt PosPileGames.txt} 

$\bullet$ {\tt GenPileGames.txt} 


They are available, along with numerous input and output files, from the front of this article

{\tt http://www.math.rutgers.edu/\~{}zeilberg/mamarim/mamarimhtml/pile.html} \quad .


{\bf References}


[LT]  Ho-Hon Leung and Thotsaporn "Aek'' Thanatipanonda, {\it A Probabilistic Two-Pile Game},
to appear. {\tt https://arxiv.org/abs/1903.03274}.


[MM] David Mccune and Lori Mccune, {\it Counting your chickens with Markov chains}, Mathematics Magazine {\bf 92} (2019), 162-172.

[T] Thotsaporn "Aek'' Thanatipanonda, {\it A Quantitative Study on Average Number of Spins of Two-Player Dreidel},
{\tt https://arxiv.org/abs/1907.11851 } \quad .

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Thotsaporn ``Aek'' Thanatipanonda, Mahidol University International College, Nakornpathom, Thailand \hfill\break
Email: {\tt thotsaporn at gmail dot com} \quad .
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Doron Zeilberger, Department of Mathematics, Rutgers University (New Brunswick), Hill Center-Busch Campus, 110 Frelinghuysen
Rd., Piscataway, NJ 08854-8019, USA. \hfill\break
Email: {\tt DoronZeil at gmail  dot com}   \quad .
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Written: July 18, 2019.
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