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|
|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