@article{(Open Science Index):https://publications.waset.org/pdf/11795, title = {A Class of Recurrent Sequences Exhibiting Some Exciting Properties of Balancing Numbers}, author = {G.K.Panda and S.S.Rout}, country = {}, institution = {}, abstract = {The balancing numbers are natural numbers n satisfying the Diophantine equation 1 + 2 + 3 + · · · + (n - 1) = (n + 1) + (n + 2) + · · · + (n + r); r is the balancer corresponding to the balancing number n.The nth balancing number is denoted by Bn and the sequence Bn1 n=1 satisfies the recurrence relation Bn+1 = 6Bn-Bn-1. The balancing numbers posses some curious properties, some like Fibonacci numbers and some others are more interesting. This paper is a study of recurrent sequence xn1 n=1 satisfying the recurrence relation xn+1 = Axn - Bxn-1 and possessing some curious properties like the balancing numbers.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {6}, number = {1}, year = {2012}, pages = {33 - 35}, ee = {https://publications.waset.org/pdf/11795}, url = {https://publications.waset.org/vol/61}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 61, 2012}, }