TY - JFULL
AU - G.K.Panda and S.S.Rout
PY - 2012/2/
TI - A Class of Recurrent Sequences Exhibiting Some Exciting Properties of Balancing Numbers
T2 - International Journal of Mathematical and Computational Sciences
SP - 32
EP - 35
VL - 6
SN - 1307-6892
UR - https://publications.waset.org/pdf/11795
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 61, 2012
N2 - 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 {Bn}1
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 {xn}1
n=1 satisfying the
recurrence relation xn+1 = Axn - Bxn-1 and possessing some
curious properties like the balancing numbers.
ER -