The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035484 Numbers n such that fractional part of e^(Pi*sqrt(n)) > 0.99. 15
6, 17, 18, 22, 25, 37, 43, 58, 59, 67, 74, 149, 163, 177, 232, 267, 326, 386, 522, 566, 638, 719, 790, 792, 928, 986, 1014, 1169, 1245, 1257, 1293, 1326, 1467, 1556, 1850, 1872, 1960, 2061, 2086, 2160, 2196, 2208, 2278, 2403, 2438, 2551, 2653, 2795, 2829 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Equivalently, let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^2. - Artur Jasinski, Jan 03 2007
LINKS
EXAMPLE
e^(Pi*sqrt(163)) = 262537412640768743.9999999999992
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^(-2)), AppendTo[a, x]], {x, 1, 1000}]; a (* Artur Jasinski, Jan 03 2007 *)
Block[{$MaxExtraPrecision = 1000}, Select[Range@ 3000, And[1 - (#1 - #2) > 0, 1 - (#1 - #2) < 10^(-2)] & @@ {#, Floor@ #} &@ Exp[Pi*Sqrt[#]] &]] (* Michael De Vlieger, Sep 04 2017 *)
CROSSREFS
Sequence in context: A095421 A063584 A019296 * A277684 A009171 A012417
KEYWORD
nonn
AUTHOR
EXTENSIONS
Edited by N. J. A. Sloane, Jul 03 2008 at the suggestion of R. J. Mathar
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 05:54 EDT 2024. Contains 372758 sequences. (Running on oeis4.)