The Infinite Sum of Reciprocal of the Fibonacci Numbers |
Received:October 13, 2010 Revised:January 12, 2011 |
Key Words:
Fibonacci numbers reciprocals infinite sum elementary method identity.
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Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11071194). |
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Abstract: |
In this paper, we consider infinite sums of the reciprocals of the Fibonacci numbers. Then applying the floor function to the reciprocals of this sums, we obtain a new identity involving the Fibonacci numbers. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2011.06.010 |
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