The Levine-O'Sullivan sequence is the sequence generated by the Levine-O'Sullivan greedy algorithm, beginning 1, 2, 4, 6, 9, 12, 15, 18, 21, 24, 28, 32, 36, 40, 45, 50, 55, 60, 65, ... (OEIS A014011). The reciprocal sum of this sequence is conjectured to bound the reciprocal sum of all A-sequences. However, this sequence is not itself an A-sequence.
Levine-O'Sullivan Sequence
See also
A-SequenceExplore with Wolfram|Alpha
References
Finch, S. R. "Erdős' Reciprocal Sum Constants." §2.20 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 163-166, 2003.Levine, E. and O'Sullivan, J. "An Upper Estimate for the Reciprocal Sum of a Sum-Free Sequence." Acta Arith. 34, 9-24, 1977.Sloane, N. J. A. Sequence A014011 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Levine-O'Sullivan SequenceCite this as:
Weisstein, Eric W. "Levine-O'Sullivan Sequence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Levine-OSullivanSequence.html