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\documentclass{article}
\usepackage{lisp-on-tex}
\lispinterp{%
(\define \sq (\lambda (\n) (\* \n \n)))
(\define \fact (\lambda (\n) (\lispif (\= \n :0) :1 (\* \n (\fact (\- \n :1))))))
}
\newcommand\sq[1]{\lispinterp{(\texprint (\sq :#1))}}
\newcommand\fact[1]{\lispinterp{(\texprint (\fact :#1))}}
\begin{document}
\section{Factorials and Squares}
\begin{center}
\begin{tabular}{r||rr}\hline\hline
$n$ & $n!$ & $n^2$ \\
\hline
1 & \fact{1} & \sq{1} \\
2 & \fact{2} & \sq{2} \\
3 & \fact{3} & \sq{3} \\
4 & \fact{4} & \sq{4} \\
5 & \fact{5} & \sq{5} \\
6 & \fact{6} & \sq{6} \\
7 & \fact{7} & \sq{7} \\
8 & \fact{8} & \sq{8} \\
9 & \fact{9} & \sq{9} \\
10 & \fact{10} & \sq{10} \\
11 & \fact{11} & \sq{11} \\
\hline
\end{tabular}
\end{center}
\end{document}
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