On the Higher Power Sums of Reciprocal Higher-Order Sequences
نویسندگان
چکیده
Let {u(n)} be a higher-order linear recursive sequence. In this paper, we use the properties of error estimation and the analytic method to study the reciprocal sums of higher power of higher-order sequences. Then we establish several new and interesting identities relating to the infinite and finite sums.
منابع مشابه
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Recently some authors [Z. Wenpeng and W. Tingting, Appl. Math. Comput. 218 (10) (2012), 61646167; T. Komatsu and V. Laohakosol, J. Integer Seq. 13 (5) (2010), Article 10.5.8.] computed partial in nite sums including reciprocal usual Fibonacci, Pell and generalized order-k Fibonacci numbers. In this paper we will present generalizations of earlier results by considering more generalized higher ...
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عنوان ژورنال:
دوره 2014 شماره
صفحات -
تاریخ انتشار 2014