Centered Triangular, Triangular, Square, Centered square, Hexagonal and Heptagonal Numbers

Among the many relationships existing between various types of numbers, the arrangement of points representing numbers that forms various geometrical figures in a plane is both fascinating and important. Such numbers are called Polygonal numbers. The Centred Polygonal numbers are less well known family belonging to figurate numbers. In this paper we will consider centred triangular numbers, triangular numbers, centred square numbers, square numbers, hexagonal numbers and heptagonal numbers and explore their inter – relationship.