A140577 Decimal expansion of Wroblewski's constant arising in nonaveraging sequences.

3, 0, 0, 8, 4, 9

Offset: 1

Author

Jonathan Vos Post, Jul 05 2008

Keywords

• cons
• more
• nonn

Comments

A nonaveraging sequence contains no three terms which are in an arithmetic progression. Wroblewski (1984) showed that for infinite nonaveraging sequences Sup_{all nonaveraging sequences b(n)} Sum_{k>=1} 1/b(k) > 3.00849. [Typo corrected by Stefan Steinerberger, Aug 28 2008]

References

• Steven R. Finch, "Erdos' Reciprocal Sum Constants." 2.20 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 163-166, 2003.
• R. K. Guy, "Nonaveraging Sets. Nondividing Sets." C16 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 131-132, 1994.

Links

• Eric W. Weisstein, Nonaveraging Sequence.
• J. Wroblewski, A Nonaveraging Set of Integers with a Large Sum of Reciprocals, Math. Comput. 43, 261-262, 1984.
• Index entries related to non-averaging sequences

Crossrefs

Cf. A051013, A131741, A133234.