Note on the Reciprocal Sum of a Sum-Free Sequence

摘要

An infinite integer sequence {1≤α1 < α2 < …} is called A-sequence, if no αi 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 Σ 1/αi> 2.065436491, which improves slightly the related upper bounds for the reciprocal sums of sum-free sequences.