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A281532
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a(n) = least numerator X such that the proper fraction X/A281529(n) needs n or more terms to be written as a signed sum of distinct unit fractions.
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1
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OFFSET
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1,2
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COMMENTS
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Sierpiński conjectured that for any integer n > 3 there exist positive integers a, b, c so that 5/n = 1/a + 1/b + 1/c. If the conjecture is true, then 5 appears only once in the sequence.
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REFERENCES
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W. Sierpiński, O rozkładach liczb wymiernych na ułamki proste, PWN, Warsaw, Poland, 1957, pp. 96-100.
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LINKS
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CROSSREFS
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KEYWORD
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nonn,frac,hard,more
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AUTHOR
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STATUS
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approved
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