Appendix 17_Observations of Restricted Partitions

In this Appendix to Chapter 17 I will discuss various observations on restricted partitions of the Rogers- Ramanujan Identities.  An integer N can be partitioned into parts 2 mod 5 and 3 mod 5 according to the second identity.   The number of parts of length or depth k is found to depend on both the modulus of k and the modulus of N. Some congruences are also given. Generating functions for each basis representation  can be derived based on simple rules.

Appendix to Chapter 17_Some New Observations for the Restricted Rogers-Ramanujan Identities