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

PDF 175Kb |

## Abstract

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