Hybrid Fibonacci Numbers. Generalization of Fibonacci Sequence

      Аннотация: Current work deals with the properties of various generalizations of the Fibonacci sequence. This book is divided into four chapters which comprise some important definitions, notations and Number Theoretic results, an introduction to the sequence {Gn }of Generalized Fibonacci numbers and some identities derived from it. It also includes an explicit formula for the nth Generalized Fibonacci number {Gn} and different forms for {Gn} which helps to compute its successor and predecessor. The formula for the number of digits of {Gn } has also been derived in the present work. An interesting combination of the Fibonacci and Lucas sequence, its properties and several identities have also been presented along with it.

Ключевые слова: Generalized Fibonacci Sequence, Fibonacci Sequence, Lucas Sequence, Binet formula