A new approach to generalized Fibonacci and Lucas numbers with binomial coefficients

作者：Gulec H H^*; Taskara N; Uslu K

来源：Applied Mathematics and Computation, 2013, 220: 482-486.

DOI：10.1016/j.amc.2013.05.043

• Fibonacci number
• Lucas number
• Generalized Fibonacci number
• Binomial coefficients

In this study, Fibonacci and Lucas numbers have been obtained by using generalized Fibonacci numbers. In addition, some new properties of generalized Fibonacci numbers with binomial coefficients have been investigated to write generalized Fibonacci sequences in a new direct way. Furthermore, it has been given a new formula for some Lucas numbers.

• 出版日期2013-9-1