\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Background}{}% 2
\BOOKMARK [2][-]{subsection.2.1}{Combinatorics on words}{section.2}% 3
\BOOKMARK [2][-]{subsection.2.2}{Abstract numeration systems, automatic sequences and regular sequences}{section.2}% 4
\BOOKMARK [2][-]{subsection.2.3}{Formal power series}{section.2}% 5
\BOOKMARK [1][-]{section.3}{The period-doubling sequence}{}% 6
\BOOKMARK [1][-]{section.4}{The formal inverse of the period-doubling word}{}% 7
\BOOKMARK [1][-]{section.5}{Characteristic sequence of 1's in the iPD sequence bold0mu mumu uuuuuu}{}% 8
\BOOKMARK [1][-]{section.6}{Acknowledgment}{}% 9