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 A050499 Nearest integer to n/log(n). 13
 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS The prime number theorem states that the number of primes <= x is asymptotic to x/log(x). n/log(n)=n/log_10(n) * 1/log(10)=n*log_10(e)/log_10(n)=n*A002285/log_10(n) [From Eric Desbiaux, Jun 27 2009] Similar to floor(1/(1-x)) where x^n=1/n. - Jon Perry, Oct 29 2013 REFERENCES Cf. G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford Univ. Press, 1979, Theorem 6. LINKS T. D. Noe, Table of n, a(n) for n=2..10000 MATHEMATICA Table[Round[n/Log[n]], {n, 2, 80}] (* Harvey P. Dale, Nov 03 2013 *) PROG (JavaScript) for (i=1; i<100; i++) { x=Math.pow(1/i, 1/i); document.write(Math.floor(1/(1-x))+", "); } CROSSREFS Cf. A000720, A050500, A050501. Sequence in context: A332875 A176873 A227727 * A304431 A147752 A236682 Adjacent sequences:  A050496 A050497 A050498 * A050500 A050501 A050502 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 27 1999 STATUS approved

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Last modified December 7 13:08 EST 2021. Contains 349581 sequences. (Running on oeis4.)