\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Integrality of Lucasnomial Fuss-Catalan numbers and other Lucasnomial extensions of classical numbers}{}% 2
\BOOKMARK [1][-]{section.3}{The smallness of DU,a,k when k0}{}% 3
\BOOKMARK [1][-]{section.4}{Preliminaries to the study of the case k1}{}% 4
\BOOKMARK [1][-]{section.5}{Chasing all Catalan-like triples \(U,a,k\), k2, and a proof that DU,a,k is otherwise infinite}{}% 5
\BOOKMARK [1][-]{section.6}{The density of DU,a,k when k1}{}% 6
\BOOKMARK [1][-]{section.7}{Appendix: The table of n-defective Lucas sequences}{}% 7
\BOOKMARK [1][-]{section.8}{Acknowledgments}{}% 8