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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A127022 Let f(k) = exp(Pi*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10^3. 12
 25, 37, 43, 58, 67, 74, 163, 232, 522, 719, 1169, 1245, 1467, 1850, 1872, 2086, 3368, 4075, 5773, 7685, 7802, 7942, 8325, 9728, 10032, 11682, 12158, 13574, 17908, 18505, 19183, 19396, 20039, 20244, 20584, 22241, 23773, 23778, 23834, 25004, 27573, 28071, 32497 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS JungHwan Min, Table of n, a(n) for n = 1..5000 MATHEMATICA a = {}; Do[If[(1 - (Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]]) > 0) && (1 - ( Exp[Pi Sqrt[x]] - Floor[Exp[Pi Sqrt[x]]])< 10^(-3)), AppendTo[a, x]], {x, 1, 1000}]; a Reap[Block[{\$MaxExtraPrecision = Infinity}, Do[If[N[FractionalPart[Exp[Pi Sqrt[n]]], 8] > .999, Sow[n]], {n, 2000}]]][[-1, 1]] (* JungHwan Min, Mar 20 2016 *) PROG (PARI) default(realprecision, 500); c(n) = exp(Pi*sqrt(n)); for(n=1, 50000, if( ceil(c(n)) - c(n) <1/1000, print1(n", "))) \\ G. C. Greubel, Jun 02 2019 (MAGMA) SetDefaultRealField(RealField(500)); R:= RealField(); [n: n in [1..50000] | Ceiling(Exp(Pi(R)*Sqrt(n))) - Exp(Pi(R)*Sqrt(n)) lt 1/1000]; // G. C. Greubel, Jun 02 2019 CROSSREFS Cf. A035484, A127023, A127024, A127025. Sequence in context: A061863 A079270 A253025 * A253018 A120148 A038516 Adjacent sequences:  A127019 A127020 A127021 * A127023 A127024 A127025 KEYWORD nonn AUTHOR Artur Jasinski, Jan 03 2007 EXTENSIONS a(16)-a(43) added (from JungHwan Min's b-file) by Jon E. Schoenfield, Sep 04 2017 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 December 8 00:04 EST 2021. Contains 349590 sequences. (Running on oeis4.)