About Fibonacci trees. II -- generalized Fibonacci trees

Abstract: In this second paper, we look at the following question: are the properties of the trees associated to the tilings ${p,4}$ and ${p$+$2,3}$ of the hyperbolic plane still true if we consider a finitely generated tree by the same rules but rooted at a black node? The direct answer is no, but new properties arise, no more complex than in the case of a tree rooted at a white node, and worth of interest. The present paper is an extension of the previous paper: arXiv:1904.12135.