Continued Fractions of Higher Order Polygonal Numbers with Respect to Order and Rank

Abstract

Developing number sequence based on polygonal numbers is an enthusiastic field in number theory. As tetrahedral numbers are similar to pyramids, one of the Seven wonders of the World, yields a unique copiousness in its suitability. In number theory study of pyramidal numbers vary in richness and variety. Also the study of continued fractions is a fastly developing field.

Keywords

• continued fraction
• pyramidal number
• order
• rank