Résumé
In this paper, we introduce a new depicting of the so-called numerical semigroup tree$\mathcal T$ . By exploring computationally this improved picture, relying on the type notion of a semigroup, we found that the number of semigroups of genus$g$and type$t$is constante when$t$is close to$g$while$g$grows. We also study the unimodality of various sequences as well as the behavior of the leaves in$\mathcal T$ . We put forward several conjectures that are supported by various computational experiments.