The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A127025 Let f(n) = exp(Pi*sqrt(n)); sequence gives numbers n such that ceiling(f(n)) - f(n) < 1/10^6. 12
 58, 163, 1467, 478233, 881967, 1053883, 1341615, 1844122, 3498092, 6069493, 6396611, 8707530, 10414308, 13340780, 16039620, 17013933, 17226343, 18577932, 19390220, 21991290, 24529596, 26202225, 26634713, 26651262, 26848308, 27497372, 32149837, 35437319, 35892748 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The probability of finding two real numbers of the form e^(Pi*sqrt(n)) whose fractional parts begin with exactly 8 nines for n in the interval [220000000, 230000000] is less than 5/1000, yet frac(e^(Pi*sqrt(223341175))) and frac(e^(Pi*sqrt(228220223))) both begin with exactly 8 nines. - Anthony Canu, Dec 22 2017 LINKS Anthony Canu, Table of n, a(n) for n = 1..182 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^(-6)), AppendTo[a, x]], {x, 1, 1000}]; a PROG (PARI) is(n)=my(t); default(realprecision, 40); default(realprecision, Pi*sqrt(n)\log(10)+40); t=exp(Pi*sqrt(n)); ceil(t)-t<1e-6 \\ Charles R Greathouse IV, Feb 20 2012 CROSSREFS Cf. A035484, A127022, A127023, A127024. Sequence in context: A108750 A044390 A044771 * A235376 A067914 A250800 Adjacent sequences:  A127022 A127023 A127024 * A127026 A127027 A127028 KEYWORD nonn AUTHOR Artur Jasinski, Jan 03 2007 EXTENSIONS a(4)-a(20) from Charles R Greathouse IV, Feb 20 2012 a(21)-a(36) from Charles R Greathouse IV, Feb 23 2012 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.

Last modified June 30 10:15 EDT 2022. Contains 354922 sequences. (Running on oeis4.)