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.
基金
the Natural Science Foundation of the Education Department of Sichuan Province (No.2006C057)