id:A059572 - OEIS Search Results

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From Mertens's conjecture (2): Floor(sqrt(n)) - Mertens's function A002321(n).

+0
2

0, 1, 2, 3, 4, 3, 4, 4, 5, 4, 5, 5, 6, 5, 4, 5, 6, 6, 7, 7, 6, 5, 6, 6, 7, 6, 6, 6, 7, 8, 9, 9, 8, 7, 6, 7, 8, 7, 6, 6, 7, 8, 9, 9, 9, 8, 9, 9, 10, 10, 9, 9, 10, 10, 9, 9, 8, 7, 8, 8, 9, 8, 8, 9, 8, 9, 10, 10, 9, 10, 11, 11, 12, 11, 11, 11, 10, 11, 12, 12, 13, 12, 13 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`Mertens conjectured that \|A002321(n)\| < sqrt(n) for all n>1. This is now known to be false.`
	REFERENCES	`D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, Section VI.2.`
	LINKS	`A. M. Odlyzko and H. J. J. te Riele, Disproof of the Mertens conjecture, J. reine angew. Math., 357 (1985), pp. 138-160.`
	CROSSREFS	`Cf. A059571, A002321.` `Sequence in context: A067349 A108414 A097477 this_sequence A031249 A031232 A030583` `Adjacent sequences: A059569 A059570 A059571 this_sequence A059573 A059574 A059575`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Feb 16 2001`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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