The number of genotypic assignments on a genealogy II. Further results for linear systems

In a previous paper we demonstrated how the number of possible genotypic assignments consistent with the rules of Mendelian genetics and with any known phenotypes could be calculated for an arbitrary genealogy. Here, we present further results for several regular genealogies constructed according to some specified recursive formulae and for which the growth of the genotypic statespace, with increasing genealogical size, can be described by a linear system.