\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]{}
\citation{Riordan}
\HyPL@Entry{0<</S/D>>}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}}
\newlabel{definizione}{{1}{1}{Introduction}{equation.1.1}{}}
\citation{Kramer}
\newlabel{primo}{{2}{2}{Introduction}{equation.1.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {2}A characterization of singular compositions}{2}{section.2}}
\newlabel{Characterization}{{2}{2}{A characterization of singular compositions}{section.2}{}}
\newlabel{ftwoline}{{3}{2}{A characterization of singular compositions}{equation.2.3}{}}
\citation{Widened}
\newlabel{periodic}{{2}{3}{}{theorem.2}{}}
\newlabel{ciclo}{{3}{3}{}{theorem.3}{}}
\newlabel{ordlin}{{4}{3}{}{theorem.4}{}}
\newlabel{uno}{{4}{3}{}{equation.2.4}{}}
\newlabel{due}{{5}{3}{}{equation.2.5}{}}
\newlabel{diversi}{{6}{4}{}{theorem.6}{}}
\newlabel{scambio}{{8}{4}{}{theorem.8}{}}
\newlabel{concluso}{{9}{5}{}{theorem.9}{}}
\newlabel{equality}{{6}{5}{}{equation.2.6}{}}
\newlabel{soluzione}{{11}{5}{}{theorem.11}{}}
\newlabel{somma2}{{7}{5}{}{equation.2.7}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Decompositions and extensions}{6}{section.3}}
\newlabel{DecExt}{{3}{6}{Decompositions and extensions}{section.3}{}}
\newlabel{emme}{{14}{6}{}{theorem.14}{}}
\newlabel{estensione}{{18}{7}{}{theorem.18}{}}
\newlabel{nuova}{{8}{7}{Decompositions and extensions}{equation.3.8}{}}
\citation{sloane}
\@writefile{toc}{\contentsline {section}{\numberline {4}Classical integer sequences}{8}{section.4}}
\newlabel{Sequences}{{4}{8}{Classical integer sequences}{section.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Fibonacci sequences}{8}{subsection.4.1}}
\newlabel{ricorrenza}{{9}{8}{Fibonacci sequences}{equation.4.9}{}}
\newlabel{2estensione}{{19}{8}{}{theorem.19}{}}
\newlabel{secondo}{{21}{9}{}{theorem.21}{}}
\newlabel{sequenzaFib}{{10}{9}{}{equation.4.10}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Lucas sequences}{9}{subsection.4.2}}
\citation{sloane}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Other integer sequences}{10}{subsection.4.3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Conclusion}{10}{section.5}}
\newlabel{altra}{{12}{10}{Conclusion}{equation.5.12}{}}
\bibcite{Widened}{1}
\bibcite{Kramer}{2}
\bibcite{Riordan}{3}
\bibcite{sloane}{4}
\@writefile{toc}{\contentsline {section}{\numberline {6}Acknowledgments}{11}{section.6}}
