A symmetric algorithm for hyperharmonic and Fibonacci numbers
نویسندگان
چکیده
In this work, we introduce a symmetric algorithm obtained by the recurrence relation an = a k n−1+a k−1 n . We point out that this algorithm can be apply to hyperharmonic-, ordinary and incomplete Fibonacciand Lucas numbers. An explicit formulae for hyperharmonic numbers, general generating functions of the Fibonacciand Lucas numbers are obtained. Besides we define ”hyperfibonacci numbers”, ”hyperlucas numbers”. Using these new concepts, some relations between ordinary and incomplete Fibonacciand Lucas numbers are investigated.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 206 شماره
صفحات -
تاریخ انتشار 2008