A positive integer n is called a co-balancing number [8] if
1 2 ⋯…… 1
2
………
for some positive integer r called the co-balancer and balancing number [1] if
1 2 ⋯…… 1 1
2
………
where r is called balancer. Since the first paper published on balancing number by
A. Behera and G. K. Panda[1], several researchers have contributed a lot of
interesting results on these two numbers. Panda [6] and Liptai [2] have generalized
the results to different sequences, particularly the sequence of the type, 1
2
⋯
.