The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A153710 Numbers k such that the fractional part of Pi^k is less than 1/k. 9
 1, 3, 5, 9, 10, 11, 59, 81, 264, 281, 472, 3592, 10479, 12128, 65875, 118885 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Numbers k such that fract(Pi^k) < 1/k, where fract(x) = x-floor(x). The next such number must be greater than 100000. a(17) > 300000. - Robert Price, Mar 25 2019 LINKS EXAMPLE a(4) = 9 since fract(Pi^9) = 0.0993... < 1/9, but fract(Pi^k) = 0.3891..., 0.2932..., 0.5310... for 6 <= k <= 8, which all are greater than 1/k. MATHEMATICA Select[Range[1000], N[FractionalPart[Pi^#], 100] < (1/#) &]  (* G. C. Greubel, Aug 25 2016 *) PROG (PARI) isok(k) = frac(Pi^k) < 1/k; \\ Michel Marcus, Feb 11 2014 CROSSREFS Cf. A153662, A153670, A153678, A153686, A153694, A153702, A153714, A154130, A153718. Cf. A001672. Sequence in context: A338655 A030365 A316520 * A230385 A269399 A345916 Adjacent sequences:  A153707 A153708 A153709 * A153711 A153712 A153713 KEYWORD nonn,more AUTHOR Hieronymus Fischer, Jan 08 2009 EXTENSIONS a(16) from Robert Price, Mar 25 2019 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 July 23 22:20 EDT 2021. Contains 346265 sequences. (Running on oeis4.)