G.K.Panda and S.S.Rout
A Class of Recurrent Sequences Exhibiting Some Exciting Properties of Balancing Numbers
33 - 35
2012
6
1
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/11795
https://publications.waset.org/vol/61
World Academy of Science, Engineering and Technology
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
n1 satisfies the recurrence relation Bn1
6BnBn1. 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
n1 satisfying the
recurrence relation xn1 Axn Bxn1 and possessing some
curious properties like the balancing numbers.
Open Science Index 61, 2012