\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 \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}{section.1}} \citation{4} \citation{5} \citation{6} \citation{7} \citation{9} \citation{9} \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces The compositions of 3 and their corresponding tilings}}{2}{figure.1}} \newlabel{comps3}{{1}{2}{Introduction\relax }{figure.1}{}} \citation{10} \citation{2} \@writefile{toc}{\contentsline {section}{\numberline {2}The number of compositions without 2's}{3}{section.2}} \newlabel{Cn}{{1}{3}{The number of compositions without 2's\relax }{theorem.1}{}} \@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces The number of compositions with no occurrence of 2}}{3}{table.1}} \newlabel{numcomps}{{1}{3}{The number of compositions without 2's\relax }{table.1}{}} \newlabel{snu1}{{1}{3}{The number of compositions without 2's\relax }{equation.1}{}} \newlabel{snu2}{{2}{3}{The number of compositions without 2's\relax }{equation.2}{}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Correspondence of binary sequences and compositions}}{4}{figure.2}} \newlabel{bin}{{2}{4}{The number of compositions without 2's\relax }{figure.2}{}} \@writefile{toc}{\contentsline {section}{\numberline {3}The number of occurrences of the summand $i$ in all compositions with no 2's}{4}{section.3}} \@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces The number of occurrences of $i$ among all compositions of $n$}}{4}{table.2}} \newlabel{occur}{{2}{4}{The number of occurrences of the summand $i$ in all compositions with no 2's\relax }{table.2}{}} \newlabel{col rep}{{2}{4}{The number of occurrences of the summand $i$ in all compositions with no 2's\relax }{theorem.2}{}} \citation{10} \newlabel{xn1}{{3}{5}{The number of occurrences of the summand $i$ in all compositions with no 2's\relax }{equation.3}{}} \newlabel{xn2}{{4}{5}{The number of occurrences of the summand $i$ in all compositions with no 2's\relax }{equation.4}{}} \newlabel{xn3}{{5}{5}{The number of occurrences of the summand $i$ in all compositions with no 2's\relax }{equation.5}{}} \citation{10} \newlabel{snu3}{{6}{6}{The number of occurrences of the summand $i$ in all compositions with no 2's\relax }{equation.6}{}} \@writefile{toc}{\contentsline {section}{\numberline {4}The number of compositions without 2's having a given number of parts}{6}{section.4}} \newlabel{cjn}{{4}{6}{The number of compositions without 2's having a given number of parts\relax }{theorem.4}{}} \@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces The number of compositions of $n$ with $j$ parts}}{7}{table.3}} \newlabel{parts}{{3}{7}{The number of compositions without 2's having a given number of parts\relax }{table.3}{}} \citation{10} \citation{1} \citation{10} \citation{3} \citation{10} \citation{1} \citation{1} \@writefile{toc}{\contentsline {section}{\numberline {5}The number of palindromes with no 2's}{9}{section.5}} \newlabel{palnums}{{10}{9}{The number of palindromes with no 2's\relax }{theorem.10}{}} \citation{10} \citation{8} \@writefile{lot}{\contentsline {table}{\numberline {4}{\ignorespaces Palindromes of $n$ with no 2's}}{10}{table.4}} \newlabel{pals}{{4}{10}{The number of palindromes with no 2's\relax }{table.4}{}} \@writefile{lot}{\contentsline {table}{\numberline {5}{\ignorespaces The number of palindromes of $n$ without 2's}}{10}{table.5}} \newlabel{numpals}{{5}{10}{The number of palindromes with no 2's\relax }{table.5}{}} \citation{10} \citation{W} \citation{6} \citation{10} \bibcite{1}{1} \@writefile{toc}{\contentsline {section}{\numberline {6}Extensions and open problems}{11}{section.6}} \@writefile{lot}{\contentsline {table}{\numberline {6}{\ignorespaces The number of partitions of $n$ without 2's}}{11}{table.6}} \newlabel{numparts}{{6}{11}{Extensions and open problems\relax }{table.6}{}} \@writefile{toc}{\contentsline {section}{\numberline {7}Acknowledgements}{11}{section.7}} \bibcite{2}{2} \bibcite{3}{3} \bibcite{4}{4} \bibcite{5}{5} \bibcite{6}{6} \bibcite{7}{7} \bibcite{8}{8} \bibcite{9}{9} \bibcite{10}{10} \bibcite{W}{11}