Fibonacci, Motzkin, Schroder, Fuss-Catalan and other Combinatorial Structures: Universal and Embedded Bijections

R. Brak, N. Mahony

A combinatorial structure, $\mathcal{F}$, with counting sequence $\{a_n{\}}_{n\ge 0}$ and ordinary generating function $G_{\mathcal{F}}={\sum }_{n\ge 0}{a}_n{x}^n$, is positive algebraic if…