\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Preliminaries and the main theorem}{}% 2
\BOOKMARK [2][-]{subsection.2.1}{Second-order polynomial sequences}{section.2}% 3
\BOOKMARK [2][-]{subsection.2.2}{Hosoya polynomial triangle}{section.2}% 4
\BOOKMARK [2][-]{subsection.2.3}{Star of David property in the Hosoya polynomial triangle}{section.2}% 5
\BOOKMARK [1][-]{section.3}{Proof of the main theorems}{}% 6
\BOOKMARK [2][-]{subsection.3.1}{Proof of the main theorems}{section.3}% 7
\BOOKMARK [2][-]{subsection.3.2}{Corollaries of the main theorem}{section.3}% 8
\BOOKMARK [1][-]{section.4}{The geometry of some identities}{}% 9
\BOOKMARK [2][-]{subsection.4.1}{Identities in the Hosoya polynomial triangle}{section.4}% 10
\BOOKMARK [2][-]{subsection.4.2}{Integration in the Hosoya triangle}{section.4}% 11
\BOOKMARK [1][-]{section.5}{Appendix. Numerical types of Hosoya triangle}{}% 12
\BOOKMARK [1][-]{section.6}{Acknowledgment}{}% 13