B2-Sequence
N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.
Also called a Sidon Sequence. An Infinite Sequence of Positive Integers
 | (1) |
 | (2) |
are distinct (Guy 1994). An example is 1, 2, 4, 8, 13, 21, 31, 45, 66, 81, ... (Sloane's A005282).Zhang (1993, 1994) showed that
 | (3) |
-sequences (Guy 1994).See also A-Sequence, Mian-Chowla Sequence
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/erdos/erdos.html Guy, R. K. ``Packing Sums of Pairs,'' ``Three-Subsets with Distinct Sums,'' and `` Sloane, N. J. A. SequenceA005282/M1094in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995. Zhang, Z. X. ``A B2-Sequence with Larger Reciprocal Sum.'' Math. Comput. 60, 835-839, 1993. Zhang, Z. X. ``Finding Finite B2-Sequences with Larger 
-Sequences,'' and -Sequences Formed by the Greedy Algorithm.'' §C9, C11, E28, and E32 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 115-118, 121-123, 228-229, and 232-233, 1994.
.'' Math. Comput. 63, 403-414, 1994.
- Markoff Number
- Markoff's Formulas
- Markov Algorithm
- Markov Chain
- Markov Matrix
- Markov Moves
- Markov Number
- Markov Process
- Markov's Inequality
- Markov Spectrum
- Markov's Theorem
- Marriage Theorem
- Married Couples Problem
- Marshall-Edgeworth Index
- Martingale
- Mascheroni Constant
- Mascheroni Construction
- Maschke's Theorem
- Mason's abc Theorem
- Mason's Theorem
- Masser-Gramain Constant
- Match Problem
- Matchstick Graph
- Mathematical Induction
- Mathematics