id:A079526 - OEIS Search Results

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Floor( exp(H_n)*log(H_n) ) - sigma(n).

+0
2

-1, -2, -1, -2, 2, -2, 4, 0, 4, 2, 10, -3, 13, 6, 9, 4, 20, 2, 23, 4, 17, 16, 31, -3, 29, 21, 26, 13, 42, 3, 46, 18, 36, 32, 41, 1, 57, 38, 45, 14, 65, 14, 69, 32, 41, 51, 78, 5, 75, 42, 66, 43, 90, 27, 78, 33, 76, 70, 103, -2, 107, 76, 71, 51, 98, 41, 120, 65, 98, 53 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`M. Kaneko has shown that the Riemann hypothesis is equivalent to the assertion that a(n) > 0 for n > 60.`
	LINKS	`J. C. Lagarias, An elementary problem equivalent to the Riemann hypothesis, Am. Math. Monthly 109 (#6, 2002), 534-543.`
	CROSSREFS	`H_n = sum of harmonic series (see A002387), sigma(n) = A000203.` `Cf. A057641, A058209, A079527.` `Sequence in context: A108954 A123920 A029170 this_sequence A163822 A029203 A159805` `Adjacent sequences: A079523 A079524 A079525 this_sequence A079527 A079528 A079529`
	KEYWORD	`sign`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Jan 22 2003`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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