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