In the prior subsection, we saw how to use the persistent Künneth formula (Theorem 1) to describe the sublevelset persistent homology of 2-methylpentane, which has two building block energy functions. In this subsection, we show how to count the total number of bars in the sublevelset persistent homology of a branched alkane with any number of building block energy functions (Theorem 2). Furthermore, we describe how to count the number of bars of any topological dimension (Theorem These results are expanded upon in Appendix A, where we count the number of bars of any length (Theorem A.2).