2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155319We show that the operad Lie is free as a non-symmetric operad. Then we study the generating series counting the operadic generators, finding a recursive formula for its coefficients, and showing that the asymptotic density of the operadic generators is 1/e.9 pagesQuantum AlgebraAlgebraic TopologyCombinatoricstext