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Search: id:A057641
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| A057641 |
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Floor(H(n)+exp(H(n))*log(H(n))) - sigma(n), where H(n) = Sum_{k=1..n} 1/k and sigma(n) (A000203) is the sum of the divisors of n. |
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+0
10
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| 0, 0, 1, 0, 4, 0, 7, 2, 7, 5, 13, 0, 17, 9, 12, 8, 23, 5, 27, 8, 21, 20, 34, 1, 33, 25, 30, 17, 46, 7, 50, 22, 40, 37, 46, 6, 62, 43, 50, 19, 70, 19, 74, 37, 46, 55, 82, 9, 79, 46, 70, 47, 95, 32, 83, 38, 81, 74, 107, 2, 112, 81, 76, 56, 102, 45, 125, 70
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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Showing this is nonnegative is equivalent to proving the Riemann hypothesis.
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REFERENCES
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G. Robin, Grandes valeurs de la fonction somme des diviseurs et hypothese de Riemann, J. Math. Pures Appl. 63 (1984), 187-213.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..10000
J. C. Lagarias, An elementary problem equivalent to the Riemann hypothesis, Am. Math. Monthly 109 (#6, 2002), 534-543.
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CROSSREFS
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Cf. A057640, A000203, A076633, A067698.
Sequence in context: A052400 A022895 A157698 this_sequence A133930 A077892 A117543
Adjacent sequences: A057638 A057639 A057640 this_sequence A057642 A057643 A057644
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Oct 12 2000
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