Advances in Theoretical and Applied Mathematics
  • Year: 2006
  • Volume: 1
  • Issue: 3

On Pairs of m-gonal Numbers with Unit Difference

  • Author:
  • Gopalan M.A.1, Manju Somanath2, Vanitha N.2
  • Total Page Count: 4
  • Page Number: 197 to 200

1Department of Mathematics, National College, Trichy, India. E-mail: gopalanma@yahoo.com

2Department of Mathematics, Cauvery College for Women, Trichy, India. E-mail: manjuajil@yahoo.com, vanittha_1978@yahoo.co.in

AMS Mathematics Subject Classification:

Abstract

We obtain the ranks of m-gonal numbers such that the difference between any two m-gonal numbers is unity. The recurrence relations satisfied by the ranks of each m-gonal number are also presented.

Keywords

Triangular number, pentagonal number, hexagonal number, octagonal number, heptagonal number, decagonal number, dodecagonal number