Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Olcay Karaatli and Refik Keskin
Pages: [71] - [89]
Received Date: November 9, 2010
Submitted by:
The study of number sequences has been a source of attraction to the
mathematicians since ancient times. Since then many of them are
focusing their interest on the study of the numbers. Undoubtely,
triangular numbers are one of these numbers. In this study, we deal
with the relations between square triangular numbers, special
condition of triangular numbers, and balancing numbers. Also, we
investigate positive integer solutions of some Diophantine equations
such as 
and other similar equations related to
square triangular and balancing numbers.
triangular numbers, square triangular numbers, balancing numbers, cobalancing numbers, Diophantine equations.
