k-Balancing Numbers and Pell’s Equation of Higher Orde

Sahu, Juli (2015) k-Balancing Numbers and Pell’s Equation of Higher Orde. MSc thesis.



First time introduced in the year 1999, the balancing numbers are extensively studied. Each balancing number is associated with a Lucas-balancing number and are useful in the computation of balancing numbers of higher order. In this report, we study the sums of k-balancing numbers with indexes in an arithmetic sequence, say an+r for fixed integers a and r. Also an infinite family of Pell’s equations of degree n>2 are discussed.

Item Type:Thesis ( MSc)
Uncontrolled Keywords:Balancing numbers, Fibonacci numbers, Pell's equation
Subjects:Mathematics and Statistics > Applied Mathematics
Divisions: Sciences > Department of Mathematics
ID Code:7962
Deposited By:Mr. Sanat Kumar Behera
Deposited On:23 Jun 2016 20:42
Last Modified:23 Jun 2016 20:42
Supervisor(s):Panda, G K

Repository Staff Only: item control page