Open Science Research Excellence
@article{(International Science Index):http://waset.org/publications/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.},
  {International Journal of Mathematical and Computational Sciences },  volume    = {6},
  number    = {1},
  year      = {2012},
  pages     = {33 - 35},
  ee        = {http://waset.org/publications/11795},
  url       = {http://waset.org/Publications?p=61},
  bibsource = {http://waset.org/Publications},
  issn      = {eISSN:1307-6892},
  publisher = {World Academy of Science, Engineering and Technology},
  index     = {International Science Index 61, 2012},
}