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A053821
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A discrete approximation to log(n): Sum_{ d divides n } A029833(d).
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4
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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; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| For n >= 1, log(n) = Sum_{ d divides n } Lambda(d), where Lambda is the real Mangoldt function (see A029833).
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REFERENCES
| T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 32, Cf. Theorem 2.10.
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CROSSREFS
| Sequence in context: A206827 A098593 A144431 * A076545 A162246 A118400
Adjacent sequences: A053818 A053819 A053820 * A053822 A053823 A053824
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2000
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