*Assistant Professor, Department of Mathematics, National College, Trichy-1
**Professor, Department of Mathematics, Srimathi Indira Gandhi College, Trichy-2
Online published on 12 November, 2013.
Explicit formulas for the ranks of Centered Decagonal numbers which are simultaneously equal to Triangular number, Square number, Pentagonal number, Hexagonal number, Octagonal number and Decagonal number in turn are presented.
Centered Decagonal number, Triangular number, Square number, Pentagonal number, Hexagonal number, Octagonal number, Decagonal number