ABSTRACT

B2-Sequence N.B. A detailed online essay by S. Finch was the starting point for this entry.

Also called a SIDON SEQUENCE. An INFINITE SEQUENCE of POSITIVE INTEGERS

15b1Bb2Bb3B. . . (1)

such that all pairwise sums

bibj (2)

for i5j are distinct (Guy 1994). An example is 1, 2, 4, 8, 13, 21, 31, 45, 66, 81, 97, 123, 148, 182, 204, 252, 290, 361, ... (Sloane’s A005282).