\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\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{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand*\HyPL@Entry[1]{}
\HyPL@Entry{0<</S/D>>}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}}
\newlabel{recu}{{1}{1}{Introduction}{equation.1.1}{}}
\citation{BrLu}
\citation{CaSo}
\citation{MAR1}
\citation{chaos}
\citation{chaos2}
\citation{FIB3}
\citation{chaos}
\newlabel{general}{{2}{2}{Introduction}{equation.1.2}{}}
\newlabel{main1}{{1}{2}{}{theorem.1}{}}
\citation{shorey}
\newlabel{main2}{{2}{3}{}{theorem.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {2}General recurrence sequences}{3}{section.2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Auxiliary facts}{3}{subsection.2.1}}
\newlabel{sec2}{{2.1}{3}{Auxiliary facts}{subsection.2.1}{}}
\newlabel{written}{{6}{3}{Auxiliary facts}{equation.2.6}{}}
\citation{chaos}
\newlabel{binet1}{{7}{4}{Auxiliary facts}{equation.2.7}{}}
\newlabel{l1}{{3}{4}{}{theorem.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}The proof of Theorem 1}{4}{subsection.2.2}}
\newlabel{s1}{{2.2}{4}{The proof of Theorem 1}{subsection.2.2}{}}
\newlabel{BG}{{9}{4}{The proof of Theorem 1}{equation.2.9}{}}
\citation{chaos}
\@writefile{toc}{\contentsline {section}{\numberline {3}The Fibonacci case}{5}{section.3}}
\newlabel{Fib}{{11}{5}{The Fibonacci case}{equation.3.11}{}}
\newlabel{Fib2}{{12}{5}{The Fibonacci case}{equation.3.12}{}}
\bibcite{BrLu}{1}
\bibcite{CaSo}{2}
\bibcite{FIB3}{3}
\bibcite{MAR1}{4}
\bibcite{shorey}{5}
\bibcite{chaos}{6}
\bibcite{chaos2}{7}
\@writefile{toc}{\contentsline {section}{\numberline {4}Conclusion}{6}{section.4}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Acknowledgement}{6}{section.5}}