Abstract

Let \(\) be a sequence of natural numbers > 1, and set \(\). The sequence is called admissible if a i divides \(\) for all i. It is known that the admissible sequences are counted by the Catalan numbers. We present a proof of this fact which, in turn, leads to some interesting combinatorial and number-theoretic questions.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call