\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{BS05}
\citation{Good58}
\citation{Law52}
\HyPL@Entry{0<</S/D>>}
\citation{B75}
\citation{TCN03}
\citation{YZYH13}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{2}{section.1}}
\newlabel{Intro}{{1}{2}{Introduction}{section.1}{}}
\newlabel{delannoy}{{1}{2}{Introduction}{equation.1.1}{}}
\citation{C74}
\citation{CLW-EuJC}
\citation{Pin10}
\citation{Bre95}
\citation{Pin10}
\citation{HS09}
\newlabel{gf}{{1}{3}{}{theorem.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Proof of Theorem \ref  {gf}}{3}{section.2}}
\newlabel{proof}{{2}{3}{Proof of Theorem \ref {gf}}{section.2}{}}
\citation{SGWW91}
\citation{SGWW91}
\citation{Spr94}
\citation{CLW-EuJC}
\newlabel{vector}{{2}{4}{Proof of Theorem \ref {gf}}{equation.2.2}{}}
\newlabel{multi}{{3}{4}{Proof of Theorem \ref {gf}}{equation.2.3}{}}
\newlabel{inverse}{{4}{4}{Proof of Theorem \ref {gf}}{equation.2.4}{}}
\newlabel{AZ}{{5}{5}{Proof of Theorem \ref {gf}}{equation.2.5}{}}
\newlabel{az}{{2}{5}{}{theorem.2}{}}
\citation{CLW-EuJC}
\citation{Bre89}
\@writefile{toc}{\contentsline {section}{\numberline {3}Remarks}{6}{section.3}}
\newlabel{remark}{{3}{6}{Remarks}{section.3}{}}
\citation{Kar68}
\citation{Kar68}
\citation{LW07}
\citation{Ben11}
\bibcite{BS05}{1}
\bibcite{Ben11}{2}
\bibcite{B75}{3}
\bibcite{Bre89}{4}
\bibcite{Bre95}{5}
\bibcite{CLW-EuJC}{6}
\bibcite{C74}{7}
\bibcite{Good58}{8}
\bibcite{HS09}{9}
\bibcite{Kar68}{10}
\bibcite{Law52}{11}
\bibcite{LW07}{12}
\bibcite{Pin10}{13}
\bibcite{SGWW91}{14}
\bibcite{oeis}{15}
\bibcite{Spr94}{16}
\@writefile{toc}{\contentsline {section}{\numberline {4}Acknowledgments}{8}{section.4}}
\bibcite{TCN03}{17}
\bibcite{YZYH13}{18}