A-Sequence
N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.
An Infinite Sequence of Positive Integers 
satisfying
 | (1) |
-sequence if no 
is the Sum of two or more distinct earlier terms (Guy 1994). Erdös (1962) proved | (2) |
-sequence satisfies the Chi Inequality (Levine and O'Sullivan 1977), which gives 
.Abbott (1987) and Zhang (1992) have given a bound from below, so the best result to date is | (3) |
-sequence satisfies | (4) |
are given by the Levine-O'Sullivan Greedy Algorithm.See also B2-Sequence, Mian-Chowla Sequence
References
Abbott, H. L. ``On Sum-Free Sequences.'' Acta Arith. 48, 93-96, 1987. Erdös, P. ``Remarks on Number Theory III. Some Problems in Additive Number Theory.'' Mat. Lapok 13, 28-38, 1962. Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/erdos/erdos.html Guy, R. K. `` Levine, E. and O'Sullivan, J. ``An Upper Estimate for the Reciprocal Sum of a Sum-Free Sequence.'' Acta Arith. 34, 9-24, 1977. Zhang, Z. X. ``A Sum-Free Sequence with Larger Reciprocal Sum.'' Unpublished manuscript, 1992.
-Sequences.'' §E28 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 228-229, 1994.
- Nephroid Evolute
- Nephroid Involute
- Nerve
- Nested Hypothesis
- Nested Radical
- Net
- Net (Polyhedron)
- Netto's Conjecture
- Network
- Neuberg Circles
- Neumann Algebra
- Neumann Boundary Conditions
- Neumann Function
- Neumann Polynomial
- Neumann Series (Bessel Function)
- Neumann Series (Integral Equation)
- Neusis Construction
- Neville's Algorithm
- Neville Theta Function
- Newcomb's Paradox
- Newman-Conway Sequence
- Newton-Cotes Formulas
- Newtonian Form
- Newton Number
- Newton-Raphson Fractal