We define a number n to be a t-balancing number if 1 2 … … …
1
2
… … …
, r is called the t-balancer. With
this generalized definition, the 0- balancing numbers are the co-balancing numbers
and 1- balancing numbers are one less than the balancing numbers.
For a sequence of real numbers
∞
, Panda [6] defined a number of
this sequence a sequence balancing number if
… … … … … …
for some natural number r. Similarly, he defined a sequence cobalancing
number if
… … … … … …
for some natural number r.
We generalize the above concepts as sequence t-balancing number.
We call a number a sequence t-balancing number if
… … … … … …
Accordingly, the sequence 0-balancing number is the sequence cobalancing number
and the sequence 1-balancing number is the next term of sequence balancing
number.
2. SEQUENCE t-BALA