\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\citation{blanchard04:_partit}
\citation{reis04:_educat}
\@writefile{toc}{\contentsline {section}{\numberline {1}The languages $L_c$}{1}{section.1}}
\citation{hopcroft00:_introd_autom_theor_languag_comput}
\newlabel{rc}{{3}{2}{The languages $L_c$\relax }{equation.3}{}}
\citation{graham94:_concr_mathem}
\citation{sedgewick96:_analy_algor}
\citation{graham94:_concr_mathem}
\citation{sloane03:_encyc_integ_sequen}
\citation{heck03:_introd_maple}
\@writefile{toc}{\contentsline {section}{\numberline {2}Counting the strings of $L_c$}{3}{section.2}}
\newlabel{clc}{{2}{3}{Counting the strings of $L_c$\relax }{section.2}{}}
\newlabel{eq:rlc}{{4}{3}{Counting the strings of $L_c$\relax }{equation.4}{}}
\newlabel{eq:s0s1}{{5}{4}{Counting the strings of $L_c$\relax }{equation.5}{}}
\newlabel{eq:kn1}{{6}{4}{Counting the strings of $L_c$\relax }{}{}}
\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Density functions of $L_c$, for $c=1..8$.}}{5}{table.1}}
\newlabel{tab:dc}{{1}{5}{Counting the strings of $L_c$\relax }{table.1}{}}
\newlabel{eq:kn2}{{6}{6}{Counting the strings of $L_c$\relax }{equation.6}{}}
\newlabel{eq:sjkj}{{8}{6}{Counting the strings of $L_c$\relax }{equation.7}{}}
\newlabel{eq:kn}{{9}{6}{Counting the strings of $L_c$\relax }{equation.9}{}}
\newlabel{eq:coe}{{10}{6}{Counting the strings of $L_c$\relax }{}{}}
\newlabel{eq:knan}{{10}{6}{Counting the strings of $L_c$\relax }{equation.10}{}}
\newlabel{eq:lim}{{2.3}{6}{Counting the strings of $L_c$\relax }{theorem.2.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}A bijection between strings of $L_c$ and partitions of finite sets}{7}{section.3}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Counting the strings of $L_{c}$ of length equal or less than a certain value}{7}{section.4}}
\newlabel{eq:rlz}{{11}{7}{Counting the strings of $L_{c}$ of length equal or less than a certain value\relax }{equation.11}{}}
\newlabel{eq:rlz1}{{12}{8}{Counting the strings of $L_{c}$ of length equal or less than a certain value\relax }{}{}}
\newlabel{eq:k0nan}{{12}{8}{Counting the strings of $L_{c}$ of length equal or less than a certain value\relax }{}{}}
\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces Density functions of $L_c^0$, for $c=1..8$.}}{9}{table.2}}
\newlabel{tab:lcz}{{2}{9}{Counting the strings of $L_{c}$ of length equal or less than a certain value\relax }{table.2}{}}
\bibcite{blanchard04:_partit}{BHR04}
\bibcite{graham94:_concr_mathem}{GKP94}
\bibcite{heck03:_introd_maple}{Hec03}
\bibcite{hopcroft00:_introd_autom_theor_languag_comput}{HMU00}
\@writefile{toc}{\contentsline {section}{\numberline {5}Conclusion}{10}{section.5}}
\newlabel{ack}{{5}{10}{Acknowledgements\relax }{section*.1}{}}
\bibcite{reis04:_educat}{RMP04}
\bibcite{sedgewick96:_analy_algor}{SF96}
\bibcite{sloane03:_encyc_integ_sequen}{Slo03}
