This site is supported by donations to The OEIS Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A275390 Numbers n for which |n/zeta(2) - Q(n)| sets a new record, where Q(x) is the number of squarefree numbers up to x. 1
 1, 2, 3, 6, 7, 15, 23, 39, 42, 43, 115, 223, 231, 239, 474, 719, 1367, 1403, 1406, 1407, 1410, 1411, 1419, 1646, 1659, 1662, 1663, 3423, 8810, 8818, 8819, 8822, 8823, 8915, 9239, 9242 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Assuming the Riemann hypothesis, Vaidya proved that Q(n) = 6*n/Pi^2 + O(n^k) for any k > 2/5. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..1000 A. M. Vaidya, On the order of the error function of the square free numbers, Proc. Nat. Inst. Sci. India Part A 32 (1966), pp. 196-201. PROG (PARI) ct=r=0; for(n=1, 1e4, if(issquarefree(n), ct++); t=abs(n/zeta(2)-ct); if(t>r, r=t; print1(n", "))) CROSSREFS Cf. A005117, A013928. Sequence in context: A125167 A137604 A034901 * A109976 A011768 A052487 Adjacent sequences:  A275387 A275388 A275389 * A275391 A275392 A275393 KEYWORD nonn AUTHOR Charles R Greathouse IV, Aug 07 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 18 20:57 EST 2019. Contains 319282 sequences. (Running on oeis4.)