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A140577
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Decimal expansion of Wroblewski's constant arising in nonaveraging sequences.
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6
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OFFSET
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1,1
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COMMENTS
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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]
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REFERENCES
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S. 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.
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LINKS
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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