*N.B. A detailed on-line essay by S. Finch
was the starting point for this entry.*

Also called a Sidon Sequence. An Infinite Sequence of Positive Integers

(1) |

(2) |

Zhang (1993, 1994) showed that

(3) |

**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 ``-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.

Sloane, N. J. A. Sequence
A005282/M1094
in ``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 .'' *Math. Comput.* **63**, 403-414, 1994.

© 1996-9

1999-05-26