The study of number sequences has been a source of attraction to the
mathematicians since ancient times. From that time many mathematicians
have been focusing their attention on the study of the fascinating triangular
numbers (numbers of the form n(n + 1)/2 where n ∈ Z
+ are known as
triangular numbers). Behera and Panda [1], while studying the Diophantine
equation 1 + 2 + · · · + (n − 1) = (n + 1) + (n + 2) + · · · + (n + r) on
triangular numbers, obtained an interesting relation of the numbers n in