Connell Sequences

Abstract

In this paper we have discussed an interesting type of sequence called “Connell Sequence”. The main part of the paper lies in deriving the generating function for the Connell Sequence and its limiting behavior is discussed. We have extended the definition of Connell Sequence and have studied the “General Connell Sequences” and have studied its generating function and its limiting behavior. The connection between Connell Sequences and the Polygonal Numbers are also explored in the process of finding the Generating Functions of these Sequences.