share the same associated floor sequence. Our strategy is to take a close look at a partic- ular function and show that all real sequences obeying certain growth bounds have step this step function as their associated floor sequences. Then we prove that the sequences (3a) and (3b) both satisfy these growth bounds and therefore have the particular step function as associated floor sequences. We also generate other sequences that share this associated floor sequence. For a preview of the resulting corollaries, peek ahead to equations (9)-(11).