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Note on the Reciprocal Sum of a Sum-Free Sequence 被引量:1

A-序列倒数和的一个注记(英文)
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摘要 An infinite integer sequence {1 ≤ a1 〈 a2 〈 ... } is called A-sequence, if no ai is sum of distinct members of the sequence other than ai. We give an example for the A-sequence, and the reciprocal sum of elements is∑1/ai〉 2.065436491, which improves slightly the related upper bounds for the reciprocal sums of sum-free sequences. An infinite integer sequence {1≤a1<a2<…} is called A-sequence,if no ai is sum of distinct members of the sequence other than ai.We give an example for the A-sequence,and the reciprocal sum of elements is Σ1/ai>2.065436491,which improves slightly the related ai upper bounds for the reciprocal sums of sum-free sequences.
作者 杨仕椿
出处 《Journal of Mathematical Research and Exposition》 CSCD 2009年第4期753-755,共3页 数学研究与评论(英文版)
基金 the Natural Science Foundation of the Education Department of Sichuan Province (No.2006C057)
关键词 sum-free sequence reciprocal sum upper estimate 序列 免费 无穷整数序列 倒数
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