id:A053821 - OEIS Search Results

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A discrete approximation to log(n): Sum_{ d divides n } A029833(d).

+0
5

0, 1, 1, 1, 2, 2, 2, 1, 1, 3, 2, 2, 3, 3, 3, 1, 3, 2, 3, 3, 3, 3, 3, 2, 2, 4, 1, 3, 3, 4, 3, 1, 3, 4, 4, 2, 4, 4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 2, 2, 3, 4, 4, 4, 2, 4, 3, 4, 4, 4, 4, 4, 4, 3, 1, 5, 4, 4, 4, 4, 5, 4, 2, 4, 5, 3, 4, 4, 5, 4, 3, 1, 5, 4, 4, 5, 5, 4, 3, 4, 4, 5, 4, 4 (list; graph; listen)

	OFFSET	`1,5`
	COMMENT	`For n >= 1, log(n) = Sum_{ d divides n } Lambda(d), where Lambda is the real Mangoldt function (see A029833).`
	REFERENCES	`T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 32, Cf. Theorem 2.10.`
	CROSSREFS	`Sequence in context: A051950 A104754 A098593 this_sequence A076545 A118400 A087698` `Adjacent sequences: A053818 A053819 A053820 this_sequence A053822 A053823 A053824`
	KEYWORD	`nonn,easy`
	AUTHOR	`njas, Apr 08 2000`

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.

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